Q: What is the total or count of factors of the number 723,267,552?

 A: 96

How do I find the total factors of the number 723,267,552?

Step 1

Find the prime factorization of the number 723,267,552.

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

Factor Tree
723,267,552
Factor Arrows
2361,633,776
Factor Arrows
2180,816,888
Factor Arrows
290,408,444
Factor Arrows
245,204,222
Factor Arrows
222,602,111
Factor Arrows
37,534,037
Factor Arrows
71,076,291
Factor Arrows
4126,251

The prime factorization in exponential form is: 25 x 31 x 71 x 411 x 26,2511

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.

723,267,552 = 25 x 31 x 71 x 411 x 26,2511
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(723267552) = (5 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(723267552) = (6)(2)(2)(2)(2)
Down Arrow
d(723267552) = 96

More numbers for you to try

Take a look at the factors page to see the factors of 723,267,552 and how to find them.

Try the factor calculator.

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