Q: What are the prime factors of the number 35,374,110?

 A: 2, 3, 5, 17, 139, 499

Why are those the prime factors of the number 35,374,110?

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 35,374,110

35,374,110
Factor Arrows
217,687,055
Factor Arrows
35,895,685
Factor Arrows
51,179,137
Factor Arrows
1769,361
Factor Arrows
139499

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, 3, 5, 17, 139, 499

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 17 x 139 x 499 = 35,374,110

This can also be written as 21 x 31 x 51 x 171 x 1391 x 4991 = 35,374,110

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 35,374,110:


Ask a Question