Q: What is the total or count of factors of the number 115,645,576?

 A: 32

How do I find the total factors of the number 115,645,576?

Step 1

Find the prime factorization of the number 115,645,576.

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

Factor Tree
115,645,576
Factor Arrows
257,822,788
Factor Arrows
228,911,394
Factor Arrows
214,455,697
Factor Arrows
43336,179
Factor Arrows
536,343

The prime factorization in exponential form is: 23 x 431 x 531 x 6,3431

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.

115,645,576 = 23 x 431 x 531 x 6,3431
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(115645576) = (3 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(115645576) = (4)(2)(2)(2)
Down Arrow
d(115645576) = 32

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Take a look at the factors page to see the factors of 115,645,576 and how to find them.

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