Q: What is the total or count of factors of the number 112,552,496?

 A: 80

How do I find the total factors of the number 112,552,496?

Step 1

Find the prime factorization of the number 112,552,496.

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

Factor Tree
112,552,496
Factor Arrows
256,276,248
Factor Arrows
228,138,124
Factor Arrows
214,069,062
Factor Arrows
27,034,531
Factor Arrows
71,004,933
Factor Arrows
5318,961
Factor Arrows
67283

The prime factorization in exponential form is: 24 x 71 x 531 x 671 x 2831

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.

112,552,496 = 24 x 71 x 531 x 671 x 2831
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(112552496) = (4 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(112552496) = (5)(2)(2)(2)(2)
Down Arrow
d(112552496) = 80

More numbers for you to try

Take a look at the factors page to see the factors of 112,552,496 and how to find them.

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