Q: What is the total or count of factors of the number 166,463,650?

 A: 24

How do I find the total factors of the number 166,463,650?

Step 1

Find the prime factorization of the number 166,463,650.

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

Factor Tree
166,463,650
Factor Arrows
283,231,825
Factor Arrows
516,646,365
Factor Arrows
53,329,273
Factor Arrows
23144,751

The prime factorization in exponential form is: 21 x 52 x 231 x 144,7511

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.

166,463,650 = 21 x 52 x 231 x 144,7511
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(166463650) = (1 + 1)(2 + 1)(1 + 1)(1 + 1)
Down Arrow
d(166463650) = (2)(3)(2)(2)
Down Arrow
d(166463650) = 24

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Take a look at the factors page to see the factors of 166,463,650 and how to find them.

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