Q: What is the total or count of factors of the number 799,332?

 A: 24

How do I find the total factors of the number 799,332?

Step 1

Find the prime factorization of the number 799,332.

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

Factor Tree
799,332
Factor Arrows
2399,666
Factor Arrows
2199,833
Factor Arrows
366,611
Factor Arrows
591,129

The prime factorization in exponential form is: 22 x 31 x 591 x 1,1291

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.

799,332 = 22 x 31 x 591 x 1,1291
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(799332) = (2 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(799332) = (3)(2)(2)(2)
Down Arrow
d(799332) = 24

More numbers for you to try

Take a look at the factors page to see the factors of 799,332 and how to find them.

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