Q: What is the total or count of factors of the number 87,616?

 A: 21

How do I find the total factors of the number 87,616?

Step 1

Find the prime factorization of the number 87,616.

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

Factor Tree
87,616
Factor Arrows
243,808
Factor Arrows
221,904
Factor Arrows
210,952
Factor Arrows
25,476
Factor Arrows
22,738
Factor Arrows
21,369
Factor Arrows
3737

The prime factorization in exponential form is: 26 x 372

Step 2

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

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

87,616 = 26 x 372
Down Arrow
d(n) = (a + 1)(b + 1)
Down Arrow
d(87616) = (6 + 1)(2 + 1)
Down Arrow
d(87616) = (7)(3)
Down Arrow
d(87616) = 21

More numbers for you to try

Take a look at the factors page to see the factors of 87,616 and how to find them.

Try the factor calculator.

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