Q: What is the total or count of factors of the number 84,972?

 A: 24

How do I find the total factors of the number 84,972?

Step 1

Find the prime factorization of the number 84,972.

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

Factor Tree
84,972
Factor Arrows
242,486
Factor Arrows
221,243
Factor Arrows
37,081
Factor Arrows
7397

The prime factorization in exponential form is: 22 x 31 x 731 x 971

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.

84,972 = 22 x 31 x 731 x 971
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(84972) = (2 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(84972) = (3)(2)(2)(2)
Down Arrow
d(84972) = 24

More numbers for you to try

Take a look at the factors page to see the factors of 84,972 and how to find them.

Try the factor calculator.

Explore more about the number 84,972:


Ask a Question