Q: What is the total or count of factors of the number 792,642?

 A: 32

How do I find the total factors of the number 792,642?

Step 1

Find the prime factorization of the number 792,642.

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

Factor Tree
792,642
Factor Arrows
2396,321
Factor Arrows
3132,107
Factor Arrows
177,771
Factor Arrows
19409

The prime factorization in exponential form is: 21 x 31 x 171 x 191 x 4091

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.

792,642 = 21 x 31 x 171 x 191 x 4091
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(792642) = (1 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(792642) = (2)(2)(2)(2)(2)
Down Arrow
d(792642) = 32

More numbers for you to try

Take a look at the factors page to see the factors of 792,642 and how to find them.

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