Q: What is the total or count of factors of the number 5,413,616?

 A: 40

How do I find the total factors of the number 5,413,616?

Step 1

Find the prime factorization of the number 5,413,616.

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

Factor Tree
5,413,616
Factor Arrows
22,706,808
Factor Arrows
21,353,404
Factor Arrows
2676,702
Factor Arrows
2338,351
Factor Arrows
1326,027
Factor Arrows
171,531

The prime factorization in exponential form is: 24 x 131 x 171 x 1,5311

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.

5,413,616 = 24 x 131 x 171 x 1,5311
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(5413616) = (4 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(5413616) = (5)(2)(2)(2)
Down Arrow
d(5413616) = 40

More numbers for you to try

Take a look at the factors page to see the factors of 5,413,616 and how to find them.

Try the factor calculator.

Explore more about the number 5,413,616:


Ask a Question