Q: What is the total or count of factors of the number 122,330,416?

 A: 40

How do I find the total factors of the number 122,330,416?

Step 1

Find the prime factorization of the number 122,330,416.

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

Factor Tree
122,330,416
Factor Arrows
261,165,208
Factor Arrows
230,582,604
Factor Arrows
215,291,302
Factor Arrows
27,645,651
Factor Arrows
13588,127
Factor Arrows
3131,879

The prime factorization in exponential form is: 24 x 131 x 3131 x 1,8791

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.

122,330,416 = 24 x 131 x 3131 x 1,8791
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(122330416) = (4 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(122330416) = (5)(2)(2)(2)
Down Arrow
d(122330416) = 40

More numbers for you to try

Take a look at the factors page to see the factors of 122,330,416 and how to find them.

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