Q: What is the total or count of factors of the number 746,011,376?

 A: 40

How do I find the total factors of the number 746,011,376?

Step 1

Find the prime factorization of the number 746,011,376.

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

Factor Tree
746,011,376
Factor Arrows
2373,005,688
Factor Arrows
2186,502,844
Factor Arrows
293,251,422
Factor Arrows
246,625,711
Factor Arrows
114,238,701
Factor Arrows
25716,493

The prime factorization in exponential form is: 24 x 111 x 2571 x 16,4931

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.

746,011,376 = 24 x 111 x 2571 x 16,4931
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(746011376) = (4 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(746011376) = (5)(2)(2)(2)
Down Arrow
d(746011376) = 40

More numbers for you to try

Take a look at the factors page to see the factors of 746,011,376 and how to find them.

Try the factor calculator.

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