Q: What is the total or count of factors of the number 523,212,151?

 A: 24

How do I find the total factors of the number 523,212,151?

Step 1

Find the prime factorization of the number 523,212,151.

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

Factor Tree
523,212,151
Factor Arrows
774,744,593
Factor Arrows
710,677,799
Factor Arrows
11970,709
Factor Arrows
2933,313

The prime factorization in exponential form is: 72 x 111 x 2931 x 3,3131

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.

523,212,151 = 72 x 111 x 2931 x 3,3131
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(523212151) = (2 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(523212151) = (3)(2)(2)(2)
Down Arrow
d(523212151) = 24

More numbers for you to try

Take a look at the factors page to see the factors of 523,212,151 and how to find them.

Try the factor calculator.

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