Q: What is the total or count of factors of the number 6,842,688?

 A: 56

How do I find the total factors of the number 6,842,688?

Step 1

Find the prime factorization of the number 6,842,688.

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

Factor Tree
6,842,688
Factor Arrows
23,421,344
Factor Arrows
21,710,672
Factor Arrows
2855,336
Factor Arrows
2427,668
Factor Arrows
2213,834
Factor Arrows
2106,917
Factor Arrows
335,639
Factor Arrows
157227

The prime factorization in exponential form is: 26 x 31 x 1571 x 2271

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.

6,842,688 = 26 x 31 x 1571 x 2271
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(6842688) = (6 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(6842688) = (7)(2)(2)(2)
Down Arrow
d(6842688) = 56

More numbers for you to try

Take a look at the factors page to see the factors of 6,842,688 and how to find them.

Try the factor calculator.

Explore more about the number 6,842,688:


Ask a Question