Q: What is the total or count of factors of the number 573,286,752?

 A: 36

How do I find the total factors of the number 573,286,752?

Step 1

Find the prime factorization of the number 573,286,752.

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

Factor Tree
573,286,752
Factor Arrows
2286,643,376
Factor Arrows
2143,321,688
Factor Arrows
271,660,844
Factor Arrows
235,830,422
Factor Arrows
217,915,211
Factor Arrows
35,971,737
Factor Arrows
31,990,579

The prime factorization in exponential form is: 25 x 32 x 1,990,5791

Step 2

Setup the equation for determining the number of factors or divisors. The equation is:

d(n) = (a + 1)(b + 1)(c + 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.

573,286,752 = 25 x 32 x 1,990,5791
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(573286752) = (5 + 1)(2 + 1)(1 + 1)
Down Arrow
d(573286752) = (6)(3)(2)
Down Arrow
d(573286752) = 36

More numbers for you to try

Take a look at the factors page to see the factors of 573,286,752 and how to find them.

Try the factor calculator.

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