Q: What is the total or count of factors of the number 87,520?

 A: 24

How do I find the total factors of the number 87,520?

Step 1

Find the prime factorization of the number 87,520.

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

Factor Tree
87,520
Factor Arrows
243,760
Factor Arrows
221,880
Factor Arrows
210,940
Factor Arrows
25,470
Factor Arrows
22,735
Factor Arrows
5547

The prime factorization in exponential form is: 25 x 51 x 5471

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.

87,520 = 25 x 51 x 5471
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(87520) = (5 + 1)(1 + 1)(1 + 1)
Down Arrow
d(87520) = (6)(2)(2)
Down Arrow
d(87520) = 24

More numbers for you to try

Take a look at the factors page to see the factors of 87,520 and how to find them.

Try the factor calculator.

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