Q: What are the prime factors of the number 71,110,490?

 A: 2, 5, 11, 17, 3457

Why are those the prime factors of the number 71,110,490?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 71,110,490

71,110,490
Factor Arrows
235,555,245
Factor Arrows
57,111,049
Factor Arrows
11646,459
Factor Arrows
1158,769
Factor Arrows
173,457

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 5, 11, 17, 3457

We can check our work by multiplying all of the prime factors together: 2 x 5 x 11 x 11 x 17 x 3,457 = 71,110,490

This can also be written as 21 x 51 x 112 x 171 x 3,4571 = 71,110,490

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 71,110,490:


Ask a Question