Q: What is the total or count of factors of the number 68,350,120?

 A: 32

How do I find the total factors of the number 68,350,120?

Step 1

Find the prime factorization of the number 68,350,120.

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

Factor Tree
68,350,120
Factor Arrows
234,175,060
Factor Arrows
217,087,530
Factor Arrows
28,543,765
Factor Arrows
51,708,753
Factor Arrows
4673,659

The prime factorization in exponential form is: 23 x 51 x 4671 x 3,6591

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.

68,350,120 = 23 x 51 x 4671 x 3,6591
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(68350120) = (3 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(68350120) = (4)(2)(2)(2)
Down Arrow
d(68350120) = 32

More numbers for you to try

Take a look at the factors page to see the factors of 68,350,120 and how to find them.

Try the factor calculator.

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