Q: What is the total or count of factors of the number 367,263,336?

 A: 64

How do I find the total factors of the number 367,263,336?

Step 1

Find the prime factorization of the number 367,263,336.

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

Factor Tree
367,263,336
Factor Arrows
2183,631,668
Factor Arrows
291,815,834
Factor Arrows
245,907,917
Factor Arrows
315,302,639
Factor Arrows
111,391,149
Factor Arrows
6592,111

The prime factorization in exponential form is: 23 x 31 x 111 x 6591 x 2,1111

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.

367,263,336 = 23 x 31 x 111 x 6591 x 2,1111
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(367263336) = (3 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(367263336) = (4)(2)(2)(2)(2)
Down Arrow
d(367263336) = 64

More numbers for you to try

Take a look at the factors page to see the factors of 367,263,336 and how to find them.

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