Q: What is the total or count of factors of the number 15,324?

 A: 12

How do I find the total factors of the number 15,324?

Step 1

Find the prime factorization of the number 15,324.

Use a factor tree to assist with solving. Take a look at our prime factorization page for additional help.

Factor Tree
15,324
Factor Arrows
27,662
Factor Arrows
23,831
Factor Arrows
31,277

The prime factorization in exponential form is: 22 x 31 x 1,2771

Step 2

Setup the equation for determining the number of factors or divisors. The equation is:

d(n) = (a + 1)(b + 1)(c + 1)

Where d(n) is equal to the number of divisors of the number and a, b, etc. are equal to the exponents of the prime factorization.

Now substitute the letters in the equation with the the exponents of your prime factorization and then solve to calculate the total number of divisors.

15,324 = 22 x 31 x 1,2771
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(15324) = (2 + 1)(1 + 1)(1 + 1)
Down Arrow
d(15324) = (3)(2)(2)
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d(15324) = 12

More numbers for you to try

Take a look at the factors page to see the factors of 15,324 and how to find them.

Try the factor calculator.

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