Q: What is the total or count of factors of the number 118,313,360?

 A: 80

How do I find the total factors of the number 118,313,360?

Step 1

Find the prime factorization of the number 118,313,360.

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

Factor Tree
118,313,360
Factor Arrows
259,156,680
Factor Arrows
229,578,340
Factor Arrows
214,789,170
Factor Arrows
27,394,585
Factor Arrows
51,478,917
Factor Arrows
11134,447
Factor Arrows
314,337

The prime factorization in exponential form is: 24 x 51 x 111 x 311 x 4,3371

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.

118,313,360 = 24 x 51 x 111 x 311 x 4,3371
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(118313360) = (4 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(118313360) = (5)(2)(2)(2)(2)
Down Arrow
d(118313360) = 80

More numbers for you to try

Take a look at the factors page to see the factors of 118,313,360 and how to find them.

Try the factor calculator.

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