Q: What is the total or count of factors of the number 87,217,638?

 A: 32

How do I find the total factors of the number 87,217,638?

Step 1

Find the prime factorization of the number 87,217,638.

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

Factor Tree
87,217,638
Factor Arrows
243,608,819
Factor Arrows
314,536,273
Factor Arrows
19765,067
Factor Arrows
2632,909

The prime factorization in exponential form is: 21 x 31 x 191 x 2631 x 2,9091

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)(e + 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.

87,217,638 = 21 x 31 x 191 x 2631 x 2,9091
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(87217638) = (1 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(87217638) = (2)(2)(2)(2)(2)
Down Arrow
d(87217638) = 32

More numbers for you to try

Take a look at the factors page to see the factors of 87,217,638 and how to find them.

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