Q: What is the total or count of factors of the number 764,586,624?

 A: 64

How do I find the total factors of the number 764,586,624?

Step 1

Find the prime factorization of the number 764,586,624.

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

Factor Tree
764,586,624
Factor Arrows
2382,293,312
Factor Arrows
2191,146,656
Factor Arrows
295,573,328
Factor Arrows
247,786,664
Factor Arrows
223,893,332
Factor Arrows
211,946,666
Factor Arrows
25,973,333
Factor Arrows
31,991,111
Factor Arrows
2968,659

The prime factorization in exponential form is: 27 x 31 x 291 x 68,6591

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.

764,586,624 = 27 x 31 x 291 x 68,6591
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(764586624) = (7 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(764586624) = (8)(2)(2)(2)
Down Arrow
d(764586624) = 64

More numbers for you to try

Take a look at the factors page to see the factors of 764,586,624 and how to find them.

Try the factor calculator.

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