Q: What is the total or count of factors of the number 272,008,884?

 A: 48

How do I find the total factors of the number 272,008,884?

Step 1

Find the prime factorization of the number 272,008,884.

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

Factor Tree
272,008,884
Factor Arrows
2136,004,442
Factor Arrows
268,002,221
Factor Arrows
322,667,407
Factor Arrows
73,238,201
Factor Arrows
4375,307

The prime factorization in exponential form is: 22 x 31 x 71 x 431 x 75,3071

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.

272,008,884 = 22 x 31 x 71 x 431 x 75,3071
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(272008884) = (2 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(272008884) = (3)(2)(2)(2)(2)
Down Arrow
d(272008884) = 48

More numbers for you to try

Take a look at the factors page to see the factors of 272,008,884 and how to find them.

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