Q: What is the total or count of factors of the number 111,376,496?

 A: 40

How do I find the total factors of the number 111,376,496?

Step 1

Find the prime factorization of the number 111,376,496.

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

Factor Tree
111,376,496
Factor Arrows
255,688,248
Factor Arrows
227,844,124
Factor Arrows
213,922,062
Factor Arrows
26,961,031
Factor Arrows
7994,433
Factor Arrows
1190,403

The prime factorization in exponential form is: 24 x 71 x 111 x 90,4031

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.

111,376,496 = 24 x 71 x 111 x 90,4031
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(111376496) = (4 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(111376496) = (5)(2)(2)(2)
Down Arrow
d(111376496) = 40

More numbers for you to try

Take a look at the factors page to see the factors of 111,376,496 and how to find them.

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