Q: What is the total or count of factors of the number 119,775,725?

 A: 12

How do I find the total factors of the number 119,775,725?

Step 1

Find the prime factorization of the number 119,775,725.

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

Factor Tree
119,775,725
Factor Arrows
523,955,145
Factor Arrows
54,791,029
Factor Arrows
34713,807

The prime factorization in exponential form is: 52 x 3471 x 13,8071

Step 2

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

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

119,775,725 = 52 x 3471 x 13,8071
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(119775725) = (2 + 1)(1 + 1)(1 + 1)
Down Arrow
d(119775725) = (3)(2)(2)
Down Arrow
d(119775725) = 12

More numbers for you to try

Take a look at the factors page to see the factors of 119,775,725 and how to find them.

Try the factor calculator.

Explore more about the number 119,775,725:


Ask a Question