Q: What is the total or count of factors of the number 270,884,376?

 A: 96

How do I find the total factors of the number 270,884,376?

Step 1

Find the prime factorization of the number 270,884,376.

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

Factor Tree
270,884,376
Factor Arrows
2135,442,188
Factor Arrows
267,721,094
Factor Arrows
233,860,547
Factor Arrows
311,286,849
Factor Arrows
33,762,283
Factor Arrows
7537,469
Factor Arrows
4113,109

The prime factorization in exponential form is: 23 x 32 x 71 x 411 x 13,1091

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.

270,884,376 = 23 x 32 x 71 x 411 x 13,1091
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d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(270884376) = (3 + 1)(2 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(270884376) = (4)(3)(2)(2)(2)
Down Arrow
d(270884376) = 96

More numbers for you to try

Take a look at the factors page to see the factors of 270,884,376 and how to find them.

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