Q: What is the total or count of factors of the number 601,063,416?

 A: 112

How do I find the total factors of the number 601,063,416?

Step 1

Find the prime factorization of the number 601,063,416.

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

Factor Tree
601,063,416
Factor Arrows
2300,531,708
Factor Arrows
2150,265,854
Factor Arrows
275,132,927
Factor Arrows
325,044,309
Factor Arrows
38,348,103
Factor Arrows
32,782,701
Factor Arrows
3927,567
Factor Arrows
3309,189
Factor Arrows
3103,063
Factor Arrows
234,481

The prime factorization in exponential form is: 23 x 36 x 231 x 4,4811

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.

601,063,416 = 23 x 36 x 231 x 4,4811
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(601063416) = (3 + 1)(6 + 1)(1 + 1)(1 + 1)
Down Arrow
d(601063416) = (4)(7)(2)(2)
Down Arrow
d(601063416) = 112

More numbers for you to try

Take a look at the factors page to see the factors of 601,063,416 and how to find them.

Try the factor calculator.

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