Q: What is the total or count of factors of the number 722,262,336?

 A: 56

How do I find the total factors of the number 722,262,336?

Step 1

Find the prime factorization of the number 722,262,336.

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

Factor Tree
722,262,336
Factor Arrows
2361,131,168
Factor Arrows
2180,565,584
Factor Arrows
290,282,792
Factor Arrows
245,141,396
Factor Arrows
222,570,698
Factor Arrows
211,285,349
Factor Arrows
33,761,783
Factor Arrows
22916,427

The prime factorization in exponential form is: 26 x 31 x 2291 x 16,4271

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.

722,262,336 = 26 x 31 x 2291 x 16,4271
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(722262336) = (6 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(722262336) = (7)(2)(2)(2)
Down Arrow
d(722262336) = 56

More numbers for you to try

Take a look at the factors page to see the factors of 722,262,336 and how to find them.

Try the factor calculator.

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