Q: What is the total or count of factors of the number 792,180?

 A: 72

How do I find the total factors of the number 792,180?

Step 1

Find the prime factorization of the number 792,180.

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

Factor Tree
792,180
Factor Arrows
2396,090
Factor Arrows
2198,045
Factor Arrows
366,015
Factor Arrows
322,005
Factor Arrows
37,335
Factor Arrows
32,445
Factor Arrows
3815
Factor Arrows
5163

The prime factorization in exponential form is: 22 x 35 x 51 x 1631

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.

792,180 = 22 x 35 x 51 x 1631
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(792180) = (2 + 1)(5 + 1)(1 + 1)(1 + 1)
Down Arrow
d(792180) = (3)(6)(2)(2)
Down Arrow
d(792180) = 72

More numbers for you to try

Take a look at the factors page to see the factors of 792,180 and how to find them.

Try the factor calculator.

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