Q: What is the total or count of factors of the number 2,426,760?

 A: 160

How do I find the total factors of the number 2,426,760?

Step 1

Find the prime factorization of the number 2,426,760.

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

Factor Tree
2,426,760
Factor Arrows
21,213,380
Factor Arrows
2606,690
Factor Arrows
2303,345
Factor Arrows
3101,115
Factor Arrows
333,705
Factor Arrows
311,235
Factor Arrows
33,745
Factor Arrows
5749
Factor Arrows
7107

The prime factorization in exponential form is: 23 x 34 x 51 x 71 x 1071

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)(e + 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.

2,426,760 = 23 x 34 x 51 x 71 x 1071
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(2426760) = (3 + 1)(4 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(2426760) = (4)(5)(2)(2)(2)
Down Arrow
d(2426760) = 160

More numbers for you to try

Take a look at the factors page to see the factors of 2,426,760 and how to find them.

Try the factor calculator.

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