Q: What is the total or count of factors of the number 95,225,607?

 A: 24

How do I find the total factors of the number 95,225,607?

Step 1

Find the prime factorization of the number 95,225,607.

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

Factor Tree
95,225,607
Factor Arrows
331,741,869
Factor Arrows
310,580,623
Factor Arrows
43246,061
Factor Arrows
2411,021

The prime factorization in exponential form is: 32 x 431 x 2411 x 1,0211

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.

95,225,607 = 32 x 431 x 2411 x 1,0211
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(95225607) = (2 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(95225607) = (3)(2)(2)(2)
Down Arrow
d(95225607) = 24

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Take a look at the factors page to see the factors of 95,225,607 and how to find them.

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