Q: What is the total or count of factors of the number 79,080?

 A: 32

How do I find the total factors of the number 79,080?

Step 1

Find the prime factorization of the number 79,080.

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

Factor Tree
79,080
Factor Arrows
239,540
Factor Arrows
219,770
Factor Arrows
29,885
Factor Arrows
33,295
Factor Arrows
5659

The prime factorization in exponential form is: 23 x 31 x 51 x 6591

Step 2

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

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

79,080 = 23 x 31 x 51 x 6591
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(79080) = (3 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(79080) = (4)(2)(2)(2)
Down Arrow
d(79080) = 32

More numbers for you to try

Take a look at the factors page to see the factors of 79,080 and how to find them.

Try the factor calculator.

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