Q: What is the total or count of factors of the number 292,360,135?

 A: 16

How do I find the total factors of the number 292,360,135?

Step 1

Find the prime factorization of the number 292,360,135.

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

Factor Tree
292,360,135
Factor Arrows
558,472,027
Factor Arrows
173,439,531
Factor Arrows
4183,891

The prime factorization in exponential form is: 51 x 171 x 411 x 83,8911

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)

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.

292,360,135 = 51 x 171 x 411 x 83,8911
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(292360135) = (1 + 1)(1 + 1)(1 + 1)(1 + 1)
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d(292360135) = (2)(2)(2)(2)
Down Arrow
d(292360135) = 16

More numbers for you to try

Take a look at the factors page to see the factors of 292,360,135 and how to find them.

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