Q: What is the total or count of factors of the number 606,158,475?

 A: 24

How do I find the total factors of the number 606,158,475?

Step 1

Find the prime factorization of the number 606,158,475.

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

Factor Tree
606,158,475
Factor Arrows
3202,052,825
Factor Arrows
540,410,565
Factor Arrows
58,082,113
Factor Arrows
13621,701

The prime factorization in exponential form is: 31 x 52 x 131 x 621,7011

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.

606,158,475 = 31 x 52 x 131 x 621,7011
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(606158475) = (1 + 1)(2 + 1)(1 + 1)(1 + 1)
Down Arrow
d(606158475) = (2)(3)(2)(2)
Down Arrow
d(606158475) = 24

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Take a look at the factors page to see the factors of 606,158,475 and how to find them.

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