Q: What is the total or count of factors of the number 532,722,204?

 A: 96

How do I find the total factors of the number 532,722,204?

Step 1

Find the prime factorization of the number 532,722,204.

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

Factor Tree
532,722,204
Factor Arrows
2266,361,102
Factor Arrows
2133,180,551
Factor Arrows
344,393,517
Factor Arrows
314,797,839
Factor Arrows
34,932,613
Factor Arrows
7704,659
Factor Arrows
1993,541

The prime factorization in exponential form is: 22 x 33 x 71 x 1991 x 3,5411

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.

532,722,204 = 22 x 33 x 71 x 1991 x 3,5411
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(532722204) = (2 + 1)(3 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(532722204) = (3)(4)(2)(2)(2)
Down Arrow
d(532722204) = 96

More numbers for you to try

Take a look at the factors page to see the factors of 532,722,204 and how to find them.

Try the factor calculator.

Explore more about the number 532,722,204:


Ask a Question