Q: What is the total or count of factors of the number 787,161,624?

 A: 32

How do I find the total factors of the number 787,161,624?

Step 1

Find the prime factorization of the number 787,161,624.

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

Factor Tree
787,161,624
Factor Arrows
2393,580,812
Factor Arrows
2196,790,406
Factor Arrows
298,395,203
Factor Arrows
332,798,401
Factor Arrows
41799,961

The prime factorization in exponential form is: 23 x 31 x 411 x 799,9611

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.

787,161,624 = 23 x 31 x 411 x 799,9611
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(787161624) = (3 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(787161624) = (4)(2)(2)(2)
Down Arrow
d(787161624) = 32

More numbers for you to try

Take a look at the factors page to see the factors of 787,161,624 and how to find them.

Try the factor calculator.

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