Q: What is the total or count of factors of the number 2,696,370?

 A: 48

How do I find the total factors of the number 2,696,370?

Step 1

Find the prime factorization of the number 2,696,370.

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

Factor Tree
2,696,370
Factor Arrows
21,348,185
Factor Arrows
3449,395
Factor Arrows
589,879
Factor Arrows
175,287
Factor Arrows
17311

The prime factorization in exponential form is: 21 x 31 x 51 x 172 x 3111

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.

2,696,370 = 21 x 31 x 51 x 172 x 3111
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(2696370) = (1 + 1)(1 + 1)(1 + 1)(2 + 1)(1 + 1)
Down Arrow
d(2696370) = (2)(2)(2)(3)(2)
Down Arrow
d(2696370) = 48

More numbers for you to try

Take a look at the factors page to see the factors of 2,696,370 and how to find them.

Try the factor calculator.

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