11,900: Calculate all the factors (divisors) of the number (proper, improper and the prime factors)

The factors (divisors) of the number 11,900

11,900 is a composite number and can be prime factorized. So what are all the factors (divisors) of the number 11,900?

A factor (a divisor) of the number 11,900 is a natural number B which when multiplied by another natural number C equals the given number 11,900:
11,900 = B × C. Example: 60 = 2 × 30.

Both B and C are factors of 11,900.


To find all the factors (divisors) of the number 11,900:

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 11,900 (the decomposition of the number into prime factors, breaking the number down into prime numbers) = dividing the number 11,900 into smaller, prime numbers. The number 11,900 results from the multiplication of these prime numbers.


11,900 = 22 × 52 × 7 × 17
11,900 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.


11,900 = 22 × 52 × 7 × 17


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
prime factor = 5
prime factor = 7
2 × 5 = 10
2 × 7 = 14
prime factor = 17
22 × 5 = 20
52 = 25
22 × 7 = 28
2 × 17 = 34
5 × 7 = 35
2 × 52 = 50
22 × 17 = 68
2 × 5 × 7 = 70
5 × 17 = 85
22 × 52 = 100
This list continues below...

... This list continues from above
7 × 17 = 119
22 × 5 × 7 = 140
2 × 5 × 17 = 170
52 × 7 = 175
2 × 7 × 17 = 238
22 × 5 × 17 = 340
2 × 52 × 7 = 350
52 × 17 = 425
22 × 7 × 17 = 476
5 × 7 × 17 = 595
22 × 52 × 7 = 700
2 × 52 × 17 = 850
2 × 5 × 7 × 17 = 1,190
22 × 52 × 17 = 1,700
22 × 5 × 7 × 17 = 2,380
52 × 7 × 17 = 2,975
2 × 52 × 7 × 17 = 5,950
22 × 52 × 7 × 17 = 11,900

The final answer:
(scroll down)

11,900 has 36 factors (divisors):
1; 2; 4; 5; 7; 10; 14; 17; 20; 25; 28; 34; 35; 50; 68; 70; 85; 100; 119; 140; 170; 175; 238; 340; 350; 425; 476; 595; 700; 850; 1,190; 1,700; 2,380; 2,975; 5,950 and 11,900
out of which 4 prime factors: 2; 5; 7 and 17
11,900 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 11,900 = ? Feb 02 02:23 UTC (GMT)
The factors (divisors) of 18,624,571,680 = ? Feb 02 02:23 UTC (GMT)
The common factors (divisors) of 767,851 and 0 = ? Feb 02 02:23 UTC (GMT)
The common factors (divisors) of 1,176,660 and 1,438,140 = ? Feb 02 02:23 UTC (GMT)
The common factors (divisors) of 126,555 and 0 = ? Feb 02 02:23 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