# 3,531,840: Calculate all the factors (divisors) of the number (proper, improper and the prime factors)

## 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
prime factor = 5
2 × 3 = 6
23 = 8
2 × 5 = 10
22 × 3 = 12
prime factor = 13
3 × 5 = 15
24 = 16
22 × 5 = 20
23 × 3 = 24
2 × 13 = 26
2 × 3 × 5 = 30
25 = 32
3 × 13 = 39
23 × 5 = 40
24 × 3 = 48
22 × 13 = 52
22 × 3 × 5 = 60
26 = 64
5 × 13 = 65
2 × 3 × 13 = 78
24 × 5 = 80
25 × 3 = 96
23 × 13 = 104
23 × 3 × 5 = 120
2 × 5 × 13 = 130
22 × 3 × 13 = 156
25 × 5 = 160
26 × 3 = 192
3 × 5 × 13 = 195
24 × 13 = 208
24 × 3 × 5 = 240
22 × 5 × 13 = 260
prime factor = 283
23 × 3 × 13 = 312
26 × 5 = 320
2 × 3 × 5 × 13 = 390
25 × 13 = 416
25 × 3 × 5 = 480
23 × 5 × 13 = 520
2 × 283 = 566
24 × 3 × 13 = 624
22 × 3 × 5 × 13 = 780
26 × 13 = 832
3 × 283 = 849
26 × 3 × 5 = 960
24 × 5 × 13 = 1,040
22 × 283 = 1,132
25 × 3 × 13 = 1,248
5 × 283 = 1,415
23 × 3 × 5 × 13 = 1,560
2 × 3 × 283 = 1,698
This list continues below...

... This list continues from above
25 × 5 × 13 = 2,080
23 × 283 = 2,264
26 × 3 × 13 = 2,496
2 × 5 × 283 = 2,830
24 × 3 × 5 × 13 = 3,120
22 × 3 × 283 = 3,396
13 × 283 = 3,679
26 × 5 × 13 = 4,160
3 × 5 × 283 = 4,245
24 × 283 = 4,528
22 × 5 × 283 = 5,660
25 × 3 × 5 × 13 = 6,240
23 × 3 × 283 = 6,792
2 × 13 × 283 = 7,358
2 × 3 × 5 × 283 = 8,490
25 × 283 = 9,056
3 × 13 × 283 = 11,037
23 × 5 × 283 = 11,320
26 × 3 × 5 × 13 = 12,480
24 × 3 × 283 = 13,584
22 × 13 × 283 = 14,716
22 × 3 × 5 × 283 = 16,980
26 × 283 = 18,112
5 × 13 × 283 = 18,395
2 × 3 × 13 × 283 = 22,074
24 × 5 × 283 = 22,640
25 × 3 × 283 = 27,168
23 × 13 × 283 = 29,432
23 × 3 × 5 × 283 = 33,960
2 × 5 × 13 × 283 = 36,790
22 × 3 × 13 × 283 = 44,148
25 × 5 × 283 = 45,280
26 × 3 × 283 = 54,336
3 × 5 × 13 × 283 = 55,185
24 × 13 × 283 = 58,864
24 × 3 × 5 × 283 = 67,920
22 × 5 × 13 × 283 = 73,580
23 × 3 × 13 × 283 = 88,296
26 × 5 × 283 = 90,560
2 × 3 × 5 × 13 × 283 = 110,370
25 × 13 × 283 = 117,728
25 × 3 × 5 × 283 = 135,840
23 × 5 × 13 × 283 = 147,160
24 × 3 × 13 × 283 = 176,592
22 × 3 × 5 × 13 × 283 = 220,740
26 × 13 × 283 = 235,456
26 × 3 × 5 × 283 = 271,680
24 × 5 × 13 × 283 = 294,320
25 × 3 × 13 × 283 = 353,184
23 × 3 × 5 × 13 × 283 = 441,480
25 × 5 × 13 × 283 = 588,640
26 × 3 × 13 × 283 = 706,368
24 × 3 × 5 × 13 × 283 = 882,960
26 × 5 × 13 × 283 = 1,177,280
25 × 3 × 5 × 13 × 283 = 1,765,920
26 × 3 × 5 × 13 × 283 = 3,531,840

## The latest 5 sets of calculated factors (divisors): of one number or the common factors of two numbers

 The factors (divisors) of 3,531,840 = ? Feb 02 02:12 UTC (GMT) The common factors (divisors) of 1,348,983 and 0 = ? Feb 02 02:12 UTC (GMT) The common factors (divisors) of 65,416,000 and 0 = ? Feb 02 02:12 UTC (GMT) The common factors (divisors) of 3,564 and 12,474 = ? Feb 02 02:12 UTC (GMT) The common factors (divisors) of 3,591,171,585 and 0 = ? Feb 02 02:12 UTC (GMT) 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".