Q: What is the total or count of factors of the number 116,747,244?

 A: 60

How do I find the total factors of the number 116,747,244?

Step 1

Find the prime factorization of the number 116,747,244.

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

Factor Tree
116,747,244
Factor Arrows
258,373,622
Factor Arrows
229,186,811
Factor Arrows
39,728,937
Factor Arrows
33,242,979
Factor Arrows
31,080,993
Factor Arrows
3360,331
Factor Arrows
1931,867

The prime factorization in exponential form is: 22 x 34 x 1931 x 1,8671

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.

116,747,244 = 22 x 34 x 1931 x 1,8671
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(116747244) = (2 + 1)(4 + 1)(1 + 1)(1 + 1)
Down Arrow
d(116747244) = (3)(5)(2)(2)
Down Arrow
d(116747244) = 60

More numbers for you to try

Take a look at the factors page to see the factors of 116,747,244 and how to find them.

Try the factor calculator.

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