Q: What is the total or count of factors of the number 120,444,736?

 A: 14

How do I find the total factors of the number 120,444,736?

Step 1

Find the prime factorization of the number 120,444,736.

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

Factor Tree
120,444,736
Factor Arrows
260,222,368
Factor Arrows
230,111,184
Factor Arrows
215,055,592
Factor Arrows
27,527,796
Factor Arrows
23,763,898
Factor Arrows
21,881,949

The prime factorization in exponential form is: 26 x 1,881,9491

Step 2

Setup the equation for determining the number of factors or divisors. The equation is:

d(n) = (a + 1)(b + 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.

120,444,736 = 26 x 1,881,9491
Down Arrow
d(n) = (a + 1)(b + 1)
Down Arrow
d(120444736) = (6 + 1)(1 + 1)
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d(120444736) = (7)(2)
Down Arrow
d(120444736) = 14

More numbers for you to try

Take a look at the factors page to see the factors of 120,444,736 and how to find them.

Try the factor calculator.

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