Q: What is the total or count of factors of the number 532,800,072?

 A: 64

How do I find the total factors of the number 532,800,072?

Step 1

Find the prime factorization of the number 532,800,072.

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

Factor Tree
532,800,072
Factor Arrows
2266,400,036
Factor Arrows
2133,200,018
Factor Arrows
266,600,009
Factor Arrows
322,200,003
Factor Arrows
37,400,001
Factor Arrows
32,466,667
Factor Arrows
7352,381

The prime factorization in exponential form is: 23 x 33 x 71 x 352,3811

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.

532,800,072 = 23 x 33 x 71 x 352,3811
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(532800072) = (3 + 1)(3 + 1)(1 + 1)(1 + 1)
Down Arrow
d(532800072) = (4)(4)(2)(2)
Down Arrow
d(532800072) = 64

More numbers for you to try

Take a look at the factors page to see the factors of 532,800,072 and how to find them.

Try the factor calculator.

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