117,728: Calculate all the factors (divisors) of the number (proper, improper and the prime factors)

The factors (divisors) of the number 117,728

117,728 is a composite number and can be prime factorized. So what are all the factors (divisors) of the number 117,728?

A factor (a divisor) of the number 117,728 is a natural number B which when multiplied by another natural number C equals the given number 117,728:
117,728 = B × C. Example: 60 = 2 × 30.

Both B and C are factors of 117,728.


To find all the factors (divisors) of the number 117,728:

1) Break down the number into its prime factors (build the number's prime factorization, decompose it into prime factors, write it as a product of prime numbers).

2) Then multiply these prime factors in all their unique combinations, that yield different results.



1) The prime factorization:

The prime factorization of the number 117,728 (the decomposition of the number into prime factors, breaking the number down into prime numbers) = dividing the number 117,728 into smaller, prime numbers. The number 117,728 results from the multiplication of these prime numbers.


117,728 = 25 × 13 × 283
117,728 is not a prime number but a composite one.


* The natural numbers that are divisible (that are divided evenly) only by 1 and themselves are called prime numbers. Examples: 2, 3, 5, 7, 11, 13, 17. A prime number has exactly two factors: 1 and the number itself.
* A composite number is a natural number that has at least one factor other than 1 and itself. Examples: 4, 6, 8, 9, 10, 12, 14.




2) How do I find all the factors (divisors) of the number?

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


117,728 = 25 × 13 × 283


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
22 = 4
23 = 8
prime factor = 13
24 = 16
2 × 13 = 26
25 = 32
22 × 13 = 52
23 × 13 = 104
24 × 13 = 208
prime factor = 283
This list continues below...

... This list continues from above
25 × 13 = 416
2 × 283 = 566
22 × 283 = 1,132
23 × 283 = 2,264
13 × 283 = 3,679
24 × 283 = 4,528
2 × 13 × 283 = 7,358
25 × 283 = 9,056
22 × 13 × 283 = 14,716
23 × 13 × 283 = 29,432
24 × 13 × 283 = 58,864
25 × 13 × 283 = 117,728

The final answer:
(scroll down)

117,728 has 24 factors (divisors):
1; 2; 4; 8; 13; 16; 26; 32; 52; 104; 208; 283; 416; 566; 1,132; 2,264; 3,679; 4,528; 7,358; 9,056; 14,716; 29,432; 58,864 and 117,728
out of which 3 prime factors: 2; 13 and 283
117,728 and 1 are called by some authors improper factors (improper divisors), 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.


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

The factors (divisors) of 117,728 = ? Feb 02 00:50 UTC (GMT)
The common factors (divisors) of 120 and 18,180 = ? Feb 02 00:50 UTC (GMT)
The common factors (divisors) of 6,330 and 6 = ? Feb 02 00:50 UTC (GMT)
The factors (divisors) of 3,400,212 = ? Feb 02 00:50 UTC (GMT)
The common factors (divisors) of 2,698,896 and 0 = ? Feb 02 00:50 UTC (GMT)
The list of all the calculated factors (divisors) of one or two numbers

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.

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

Some articles on the prime numbers

What is a prime number? Definition, examples

What is a composite number? Definition, examples

The prime numbers up to 1,000

The prime numbers up to 10,000

The Sieve of Eratosthenes

The Euclidean Algorithm

Completely reduce (simplify) fractions to the lowest terms: Steps and Examples