Given the Number 396,074,448, Calculate (Find) All the Factors (All the Divisors) of the Number 396,074,448 (the Proper, the Improper and the Prime Factors)

All the factors (divisors) of the number 396,074,448

1. Carry out the prime factorization of the number 396,074,448:

The prime factorization of a number: finding the prime numbers that multiply together to make that number.

396,074,448 = 24 × 38 × 73 × 11
396,074,448 is not a prime number but a composite one.

» Online calculator. Check whether a number is prime or not. The prime factorization of composite numbers

* Prime number: a natural number that is divisible (divided evenly) only by 1 and itself. A prime number has exactly two factors: 1 and the number itself.
* Composite number: a natural number that has at least one other factor than 1 and itself.


2. Multiply the prime factors of the number 396,074,448

Multiply the prime factors involved in the prime factorization of the number in all their unique combinations, that give different results.

Also consider the exponents of these prime factors.

Also add 1 to the list of factors (divisors). All the numbers are divisible by 1.


All the factors (divisors) are listed below - in ascending order

The list of factors (divisors):

neither prime nor composite = 1
prime factor = 2
prime factor = 3
22 = 4
2 × 3 = 6
prime factor = 7
23 = 8
32 = 9
prime factor = 11
22 × 3 = 12
2 × 7 = 14
24 = 16
2 × 32 = 18
3 × 7 = 21
2 × 11 = 22
23 × 3 = 24
33 = 27
22 × 7 = 28
3 × 11 = 33
22 × 32 = 36
2 × 3 × 7 = 42
22 × 11 = 44
24 × 3 = 48
72 = 49
2 × 33 = 54
23 × 7 = 56
32 × 7 = 63
2 × 3 × 11 = 66
23 × 32 = 72
7 × 11 = 77
34 = 81
22 × 3 × 7 = 84
23 × 11 = 88
2 × 72 = 98
32 × 11 = 99
22 × 33 = 108
24 × 7 = 112
2 × 32 × 7 = 126
22 × 3 × 11 = 132
24 × 32 = 144
3 × 72 = 147
2 × 7 × 11 = 154
2 × 34 = 162
23 × 3 × 7 = 168
24 × 11 = 176
33 × 7 = 189
22 × 72 = 196
2 × 32 × 11 = 198
23 × 33 = 216
3 × 7 × 11 = 231
35 = 243
22 × 32 × 7 = 252
23 × 3 × 11 = 264
2 × 3 × 72 = 294
33 × 11 = 297
22 × 7 × 11 = 308
22 × 34 = 324
24 × 3 × 7 = 336
73 = 343
2 × 33 × 7 = 378
23 × 72 = 392
22 × 32 × 11 = 396
24 × 33 = 432
32 × 72 = 441
2 × 3 × 7 × 11 = 462
2 × 35 = 486
23 × 32 × 7 = 504
24 × 3 × 11 = 528
72 × 11 = 539
34 × 7 = 567
22 × 3 × 72 = 588
2 × 33 × 11 = 594
23 × 7 × 11 = 616
23 × 34 = 648
2 × 73 = 686
32 × 7 × 11 = 693
36 = 729
22 × 33 × 7 = 756
24 × 72 = 784
23 × 32 × 11 = 792
2 × 32 × 72 = 882
34 × 11 = 891
22 × 3 × 7 × 11 = 924
22 × 35 = 972
24 × 32 × 7 = 1,008
3 × 73 = 1,029
2 × 72 × 11 = 1,078
2 × 34 × 7 = 1,134
23 × 3 × 72 = 1,176
22 × 33 × 11 = 1,188
24 × 7 × 11 = 1,232
24 × 34 = 1,296
33 × 72 = 1,323
22 × 73 = 1,372
2 × 32 × 7 × 11 = 1,386
2 × 36 = 1,458
23 × 33 × 7 = 1,512
24 × 32 × 11 = 1,584
3 × 72 × 11 = 1,617
35 × 7 = 1,701
22 × 32 × 72 = 1,764
2 × 34 × 11 = 1,782
23 × 3 × 7 × 11 = 1,848
23 × 35 = 1,944
2 × 3 × 73 = 2,058
33 × 7 × 11 = 2,079
22 × 72 × 11 = 2,156
37 = 2,187
22 × 34 × 7 = 2,268
24 × 3 × 72 = 2,352
23 × 33 × 11 = 2,376
2 × 33 × 72 = 2,646
35 × 11 = 2,673
23 × 73 = 2,744
22 × 32 × 7 × 11 = 2,772
22 × 36 = 2,916
24 × 33 × 7 = 3,024
32 × 73 = 3,087
2 × 3 × 72 × 11 = 3,234
2 × 35 × 7 = 3,402
23 × 32 × 72 = 3,528
22 × 34 × 11 = 3,564
24 × 3 × 7 × 11 = 3,696
73 × 11 = 3,773
24 × 35 = 3,888
34 × 72 = 3,969
22 × 3 × 73 = 4,116
2 × 33 × 7 × 11 = 4,158
23 × 72 × 11 = 4,312
2 × 37 = 4,374
23 × 34 × 7 = 4,536
24 × 33 × 11 = 4,752
32 × 72 × 11 = 4,851
36 × 7 = 5,103
22 × 33 × 72 = 5,292
2 × 35 × 11 = 5,346
24 × 73 = 5,488
23 × 32 × 7 × 11 = 5,544
23 × 36 = 5,832
2 × 32 × 73 = 6,174
34 × 7 × 11 = 6,237
22 × 3 × 72 × 11 = 6,468
38 = 6,561
22 × 35 × 7 = 6,804
24 × 32 × 72 = 7,056
23 × 34 × 11 = 7,128
2 × 73 × 11 = 7,546
2 × 34 × 72 = 7,938
36 × 11 = 8,019
23 × 3 × 73 = 8,232
22 × 33 × 7 × 11 = 8,316
24 × 72 × 11 = 8,624
22 × 37 = 8,748
24 × 34 × 7 = 9,072
33 × 73 = 9,261
2 × 32 × 72 × 11 = 9,702
2 × 36 × 7 = 10,206
23 × 33 × 72 = 10,584
22 × 35 × 11 = 10,692
24 × 32 × 7 × 11 = 11,088
3 × 73 × 11 = 11,319
24 × 36 = 11,664
35 × 72 = 11,907
22 × 32 × 73 = 12,348
2 × 34 × 7 × 11 = 12,474
23 × 3 × 72 × 11 = 12,936
2 × 38 = 13,122
23 × 35 × 7 = 13,608
24 × 34 × 11 = 14,256
33 × 72 × 11 = 14,553
22 × 73 × 11 = 15,092
37 × 7 = 15,309
22 × 34 × 72 = 15,876
2 × 36 × 11 = 16,038
24 × 3 × 73 = 16,464
23 × 33 × 7 × 11 = 16,632
23 × 37 = 17,496
2 × 33 × 73 = 18,522
35 × 7 × 11 = 18,711
22 × 32 × 72 × 11 = 19,404
This list continues below...

... This list continues from above
22 × 36 × 7 = 20,412
24 × 33 × 72 = 21,168
23 × 35 × 11 = 21,384
2 × 3 × 73 × 11 = 22,638
2 × 35 × 72 = 23,814
37 × 11 = 24,057
23 × 32 × 73 = 24,696
22 × 34 × 7 × 11 = 24,948
24 × 3 × 72 × 11 = 25,872
22 × 38 = 26,244
24 × 35 × 7 = 27,216
34 × 73 = 27,783
2 × 33 × 72 × 11 = 29,106
23 × 73 × 11 = 30,184
2 × 37 × 7 = 30,618
23 × 34 × 72 = 31,752
22 × 36 × 11 = 32,076
24 × 33 × 7 × 11 = 33,264
32 × 73 × 11 = 33,957
24 × 37 = 34,992
36 × 72 = 35,721
22 × 33 × 73 = 37,044
2 × 35 × 7 × 11 = 37,422
23 × 32 × 72 × 11 = 38,808
23 × 36 × 7 = 40,824
24 × 35 × 11 = 42,768
34 × 72 × 11 = 43,659
22 × 3 × 73 × 11 = 45,276
38 × 7 = 45,927
22 × 35 × 72 = 47,628
2 × 37 × 11 = 48,114
24 × 32 × 73 = 49,392
23 × 34 × 7 × 11 = 49,896
23 × 38 = 52,488
2 × 34 × 73 = 55,566
36 × 7 × 11 = 56,133
22 × 33 × 72 × 11 = 58,212
24 × 73 × 11 = 60,368
22 × 37 × 7 = 61,236
24 × 34 × 72 = 63,504
23 × 36 × 11 = 64,152
2 × 32 × 73 × 11 = 67,914
2 × 36 × 72 = 71,442
38 × 11 = 72,171
23 × 33 × 73 = 74,088
22 × 35 × 7 × 11 = 74,844
24 × 32 × 72 × 11 = 77,616
24 × 36 × 7 = 81,648
35 × 73 = 83,349
2 × 34 × 72 × 11 = 87,318
23 × 3 × 73 × 11 = 90,552
2 × 38 × 7 = 91,854
23 × 35 × 72 = 95,256
22 × 37 × 11 = 96,228
24 × 34 × 7 × 11 = 99,792
33 × 73 × 11 = 101,871
24 × 38 = 104,976
37 × 72 = 107,163
22 × 34 × 73 = 111,132
2 × 36 × 7 × 11 = 112,266
23 × 33 × 72 × 11 = 116,424
23 × 37 × 7 = 122,472
24 × 36 × 11 = 128,304
35 × 72 × 11 = 130,977
22 × 32 × 73 × 11 = 135,828
22 × 36 × 72 = 142,884
2 × 38 × 11 = 144,342
24 × 33 × 73 = 148,176
23 × 35 × 7 × 11 = 149,688
2 × 35 × 73 = 166,698
37 × 7 × 11 = 168,399
22 × 34 × 72 × 11 = 174,636
24 × 3 × 73 × 11 = 181,104
22 × 38 × 7 = 183,708
24 × 35 × 72 = 190,512
23 × 37 × 11 = 192,456
2 × 33 × 73 × 11 = 203,742
2 × 37 × 72 = 214,326
23 × 34 × 73 = 222,264
22 × 36 × 7 × 11 = 224,532
24 × 33 × 72 × 11 = 232,848
24 × 37 × 7 = 244,944
36 × 73 = 250,047
2 × 35 × 72 × 11 = 261,954
23 × 32 × 73 × 11 = 271,656
23 × 36 × 72 = 285,768
22 × 38 × 11 = 288,684
24 × 35 × 7 × 11 = 299,376
34 × 73 × 11 = 305,613
38 × 72 = 321,489
22 × 35 × 73 = 333,396
2 × 37 × 7 × 11 = 336,798
23 × 34 × 72 × 11 = 349,272
23 × 38 × 7 = 367,416
24 × 37 × 11 = 384,912
36 × 72 × 11 = 392,931
22 × 33 × 73 × 11 = 407,484
22 × 37 × 72 = 428,652
24 × 34 × 73 = 444,528
23 × 36 × 7 × 11 = 449,064
2 × 36 × 73 = 500,094
38 × 7 × 11 = 505,197
22 × 35 × 72 × 11 = 523,908
24 × 32 × 73 × 11 = 543,312
24 × 36 × 72 = 571,536
23 × 38 × 11 = 577,368
2 × 34 × 73 × 11 = 611,226
2 × 38 × 72 = 642,978
23 × 35 × 73 = 666,792
22 × 37 × 7 × 11 = 673,596
24 × 34 × 72 × 11 = 698,544
24 × 38 × 7 = 734,832
37 × 73 = 750,141
2 × 36 × 72 × 11 = 785,862
23 × 33 × 73 × 11 = 814,968
23 × 37 × 72 = 857,304
24 × 36 × 7 × 11 = 898,128
35 × 73 × 11 = 916,839
22 × 36 × 73 = 1,000,188
2 × 38 × 7 × 11 = 1,010,394
23 × 35 × 72 × 11 = 1,047,816
24 × 38 × 11 = 1,154,736
37 × 72 × 11 = 1,178,793
22 × 34 × 73 × 11 = 1,222,452
22 × 38 × 72 = 1,285,956
24 × 35 × 73 = 1,333,584
23 × 37 × 7 × 11 = 1,347,192
2 × 37 × 73 = 1,500,282
22 × 36 × 72 × 11 = 1,571,724
24 × 33 × 73 × 11 = 1,629,936
24 × 37 × 72 = 1,714,608
2 × 35 × 73 × 11 = 1,833,678
23 × 36 × 73 = 2,000,376
22 × 38 × 7 × 11 = 2,020,788
24 × 35 × 72 × 11 = 2,095,632
38 × 73 = 2,250,423
2 × 37 × 72 × 11 = 2,357,586
23 × 34 × 73 × 11 = 2,444,904
23 × 38 × 72 = 2,571,912
24 × 37 × 7 × 11 = 2,694,384
36 × 73 × 11 = 2,750,517
22 × 37 × 73 = 3,000,564
23 × 36 × 72 × 11 = 3,143,448
38 × 72 × 11 = 3,536,379
22 × 35 × 73 × 11 = 3,667,356
24 × 36 × 73 = 4,000,752
23 × 38 × 7 × 11 = 4,041,576
2 × 38 × 73 = 4,500,846
22 × 37 × 72 × 11 = 4,715,172
24 × 34 × 73 × 11 = 4,889,808
24 × 38 × 72 = 5,143,824
2 × 36 × 73 × 11 = 5,501,034
23 × 37 × 73 = 6,001,128
24 × 36 × 72 × 11 = 6,286,896
2 × 38 × 72 × 11 = 7,072,758
23 × 35 × 73 × 11 = 7,334,712
24 × 38 × 7 × 11 = 8,083,152
37 × 73 × 11 = 8,251,551
22 × 38 × 73 = 9,001,692
23 × 37 × 72 × 11 = 9,430,344
22 × 36 × 73 × 11 = 11,002,068
24 × 37 × 73 = 12,002,256
22 × 38 × 72 × 11 = 14,145,516
24 × 35 × 73 × 11 = 14,669,424
2 × 37 × 73 × 11 = 16,503,102
23 × 38 × 73 = 18,003,384
24 × 37 × 72 × 11 = 18,860,688
23 × 36 × 73 × 11 = 22,004,136
38 × 73 × 11 = 24,754,653
23 × 38 × 72 × 11 = 28,291,032
22 × 37 × 73 × 11 = 33,006,204
24 × 38 × 73 = 36,006,768
24 × 36 × 73 × 11 = 44,008,272
2 × 38 × 73 × 11 = 49,509,306
24 × 38 × 72 × 11 = 56,582,064
23 × 37 × 73 × 11 = 66,012,408
22 × 38 × 73 × 11 = 99,018,612
24 × 37 × 73 × 11 = 132,024,816
23 × 38 × 73 × 11 = 198,037,224
24 × 38 × 73 × 11 = 396,074,448

The final answer:
(scroll down)

396,074,448 has 360 factors (divisors):
1; 2; 3; 4; 6; 7; 8; 9; 11; 12; 14; 16; 18; 21; 22; 24; 27; 28; 33; 36; 42; 44; 48; 49; 54; 56; 63; 66; 72; 77; 81; 84; 88; 98; 99; 108; 112; 126; 132; 144; 147; 154; 162; 168; 176; 189; 196; 198; 216; 231; 243; 252; 264; 294; 297; 308; 324; 336; 343; 378; 392; 396; 432; 441; 462; 486; 504; 528; 539; 567; 588; 594; 616; 648; 686; 693; 729; 756; 784; 792; 882; 891; 924; 972; 1,008; 1,029; 1,078; 1,134; 1,176; 1,188; 1,232; 1,296; 1,323; 1,372; 1,386; 1,458; 1,512; 1,584; 1,617; 1,701; 1,764; 1,782; 1,848; 1,944; 2,058; 2,079; 2,156; 2,187; 2,268; 2,352; 2,376; 2,646; 2,673; 2,744; 2,772; 2,916; 3,024; 3,087; 3,234; 3,402; 3,528; 3,564; 3,696; 3,773; 3,888; 3,969; 4,116; 4,158; 4,312; 4,374; 4,536; 4,752; 4,851; 5,103; 5,292; 5,346; 5,488; 5,544; 5,832; 6,174; 6,237; 6,468; 6,561; 6,804; 7,056; 7,128; 7,546; 7,938; 8,019; 8,232; 8,316; 8,624; 8,748; 9,072; 9,261; 9,702; 10,206; 10,584; 10,692; 11,088; 11,319; 11,664; 11,907; 12,348; 12,474; 12,936; 13,122; 13,608; 14,256; 14,553; 15,092; 15,309; 15,876; 16,038; 16,464; 16,632; 17,496; 18,522; 18,711; 19,404; 20,412; 21,168; 21,384; 22,638; 23,814; 24,057; 24,696; 24,948; 25,872; 26,244; 27,216; 27,783; 29,106; 30,184; 30,618; 31,752; 32,076; 33,264; 33,957; 34,992; 35,721; 37,044; 37,422; 38,808; 40,824; 42,768; 43,659; 45,276; 45,927; 47,628; 48,114; 49,392; 49,896; 52,488; 55,566; 56,133; 58,212; 60,368; 61,236; 63,504; 64,152; 67,914; 71,442; 72,171; 74,088; 74,844; 77,616; 81,648; 83,349; 87,318; 90,552; 91,854; 95,256; 96,228; 99,792; 101,871; 104,976; 107,163; 111,132; 112,266; 116,424; 122,472; 128,304; 130,977; 135,828; 142,884; 144,342; 148,176; 149,688; 166,698; 168,399; 174,636; 181,104; 183,708; 190,512; 192,456; 203,742; 214,326; 222,264; 224,532; 232,848; 244,944; 250,047; 261,954; 271,656; 285,768; 288,684; 299,376; 305,613; 321,489; 333,396; 336,798; 349,272; 367,416; 384,912; 392,931; 407,484; 428,652; 444,528; 449,064; 500,094; 505,197; 523,908; 543,312; 571,536; 577,368; 611,226; 642,978; 666,792; 673,596; 698,544; 734,832; 750,141; 785,862; 814,968; 857,304; 898,128; 916,839; 1,000,188; 1,010,394; 1,047,816; 1,154,736; 1,178,793; 1,222,452; 1,285,956; 1,333,584; 1,347,192; 1,500,282; 1,571,724; 1,629,936; 1,714,608; 1,833,678; 2,000,376; 2,020,788; 2,095,632; 2,250,423; 2,357,586; 2,444,904; 2,571,912; 2,694,384; 2,750,517; 3,000,564; 3,143,448; 3,536,379; 3,667,356; 4,000,752; 4,041,576; 4,500,846; 4,715,172; 4,889,808; 5,143,824; 5,501,034; 6,001,128; 6,286,896; 7,072,758; 7,334,712; 8,083,152; 8,251,551; 9,001,692; 9,430,344; 11,002,068; 12,002,256; 14,145,516; 14,669,424; 16,503,102; 18,003,384; 18,860,688; 22,004,136; 24,754,653; 28,291,032; 33,006,204; 36,006,768; 44,008,272; 49,509,306; 56,582,064; 66,012,408; 99,018,612; 132,024,816; 198,037,224 and 396,074,448
out of which 4 prime factors: 2; 3; 7 and 11
396,074,448 and 1 are sometimes called improper factors, the others are called proper factors (proper divisors).

A quick way to find the factors (the divisors) of a number is to break it down into prime factors.

Then multiply the prime factors and their exponents, if any, in all their different combinations.


Other similar operations of calculating factors (divisors):

» What are all the proper, improper and prime factors (divisors) of the number 396,074,446?

» What are all the proper, improper and prime factors (divisors) of the number 396,074,452?


Calculate all the divisors (factors) of the given numbers

How to calculate (find) all the factors (divisors) of a number:

Break down the number into prime factors. Then multiply its prime factors in all their unique combinations, that give different results.

To calculate the common factors of two numbers:

The common factors (divisors) of two numbers are all the factors of the greatest common factor, gcf.

Calculate the greatest (highest) common factor (divisor) of the two numbers, gcf (hcf, gcd).

Break down the GCF into prime factors. Then multiply its prime factors in all their unique combinations, that give different results.

The latest 10 sets of calculated factors (divisors): of one number or the common factors of two numbers

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The list of all the calculated factors (divisors) of one or two numbers

Factors (divisors), common factors (common divisors), the greatest common factor, GCF (also called the greatest common divisor, GCD, or the highest common factor, HCF)

  • If the number "t" is a factor (divisor) of the number "a" then in the prime factorization of "t" we will only encounter prime factors that also occur in the prime factorization of "a".
  • If there are exponents involved, the maximum value of an exponent for any base of a power that is found in the prime factorization of "t" (powers, or multiplicities) is at most equal to the exponent of the same base that is involved in the prime factorization of "a".
  • Hint: 23 = 2 × 2 × 2 = 8. 2 is called the base and 3 is the exponent. 23 is the power and 8 is the value of the power. We sometimes say that the number 2 is raised to the power of 3.
  • For example, 12 is a factor (divisor) of 120 - the remainder is zero when dividing 120 by 12.
  • Let's look at the prime factorization of both numbers and notice the bases and the exponents that occur in the prime factorization of both numbers:
  • 12 = 2 × 2 × 3 = 22 × 3
  • 120 = 2 × 2 × 2 × 3 × 5 = 23 × 3 × 5
  • 120 contains all the prime factors of 12, and all its bases' exponents are higher than those of 12.
  • If "t" is a common factor (divisor) of "a" and "b", then the prime factorization of "t" contains only the common prime factors involved in the prime factorizations of both "a" and "b".
  • If there are exponents involved, the maximum value of an exponent for any base of a power that is found in the prime factorization of "t" is at most equal to the minimum of the exponents of the same base that is involved in the prime factorization of both "a" and "b".
  • For example, 12 is the common factor of 48 and 360.
  • The remainder is zero when dividing either 48 or 360 by 12.
  • Here there are the prime factorizations of the three numbers, 12, 48 and 360:
  • 12 = 22 × 3
  • 48 = 24 × 3
  • 360 = 23 × 32 × 5
  • Please note that 48 and 360 have more factors (divisors): 2, 3, 4, 6, 8, 12, 24. Among them, 24 is the greatest common factor, GCF (or the greatest common divisor, GCD, or the highest common factor, HCF) of 48 and 360.
  • The greatest common factor, GCF, of two numbers, "a" and "b", is the product of all the common prime factors involved in the prime factorizations of both "a" and "b", taken by the lowest exponents.
  • Based on this rule it is calculated the greatest common factor, GCF, (or the greatest common divisor GCD, HCF) of several numbers, as shown in the example below...
  • GCF, GCD (1,260; 3,024; 5,544) = ?
  • 1,260 = 22 × 32
  • 3,024 = 24 × 32 × 7
  • 5,544 = 23 × 32 × 7 × 11
  • The common prime factors are:
  • 2 - its lowest exponent (multiplicity) is: min.(2; 3; 4) = 2
  • 3 - its lowest exponent (multiplicity) is: min.(2; 2; 2) = 2
  • GCF, GCD (1,260; 3,024; 5,544) = 22 × 32 = 252
  • Coprime numbers:
  • If two numbers "a" and "b" have no other common factors (divisors) than 1, gfc, gcd, hcf (a; b) = 1, then the numbers "a" and "b" are called coprime (or relatively prime).
  • Factors of the GCF
  • If "a" and "b" are not coprime, then every common factor (divisor) of "a" and "b" is a also a factor (divisor) of the greatest common factor, GCF (greatest common divisor, GCD, highest common factor, HCF) of "a" and "b".