Q: What is the total or count of factors of the number 712,165,452?

 A: 48

How do I find the total factors of the number 712,165,452?

Step 1

Find the prime factorization of the number 712,165,452.

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

Factor Tree
712,165,452
Factor Arrows
2356,082,726
Factor Arrows
2178,041,363
Factor Arrows
359,347,121
Factor Arrows
531,119,757
Factor Arrows
10910,273

The prime factorization in exponential form is: 22 x 31 x 531 x 1091 x 10,2731

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.

712,165,452 = 22 x 31 x 531 x 1091 x 10,2731
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d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(712165452) = (2 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
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d(712165452) = (3)(2)(2)(2)(2)
Down Arrow
d(712165452) = 48

More numbers for you to try

Take a look at the factors page to see the factors of 712,165,452 and how to find them.

Try the factor calculator.

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