Q: What is the total or count of factors of the number 576,842,720?

 A: 48

How do I find the total factors of the number 576,842,720?

Step 1

Find the prime factorization of the number 576,842,720.

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

Factor Tree
576,842,720
Factor Arrows
2288,421,360
Factor Arrows
2144,210,680
Factor Arrows
272,105,340
Factor Arrows
236,052,670
Factor Arrows
218,026,335
Factor Arrows
53,605,267
Factor Arrows
1,0133,559

The prime factorization in exponential form is: 25 x 51 x 1,0131 x 3,5591

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.

576,842,720 = 25 x 51 x 1,0131 x 3,5591
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(576842720) = (5 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(576842720) = (6)(2)(2)(2)
Down Arrow
d(576842720) = 48

More numbers for you to try

Take a look at the factors page to see the factors of 576,842,720 and how to find them.

Try the factor calculator.

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