Q: What is the total or count of factors of the number 109,510,152?

 A: 16

How do I find the total factors of the number 109,510,152?

Step 1

Find the prime factorization of the number 109,510,152.

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

Factor Tree
109,510,152
Factor Arrows
254,755,076
Factor Arrows
227,377,538
Factor Arrows
213,688,769
Factor Arrows
34,562,923

The prime factorization in exponential form is: 23 x 31 x 4,562,9231

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.

109,510,152 = 23 x 31 x 4,562,9231
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(109510152) = (3 + 1)(1 + 1)(1 + 1)
Down Arrow
d(109510152) = (4)(2)(2)
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d(109510152) = 16

More numbers for you to try

Take a look at the factors page to see the factors of 109,510,152 and how to find them.

Try the factor calculator.

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