Q: What are the prime factors of the number 109,510,056?

 A: 2, 3, 17, 9941

Why are those the prime factors of the number 109,510,056?

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 109,510,056

109,510,056
Factor Arrows
254,755,028
Factor Arrows
227,377,514
Factor Arrows
213,688,757
Factor Arrows
34,562,919
Factor Arrows
31,520,973
Factor Arrows
3506,991
Factor Arrows
3168,997
Factor Arrows
179,941

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, 17, 9941

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 3 x 17 x 9,941 = 109,510,056

This can also be written as 23 x 34 x 171 x 9,9411 = 109,510,056

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 109,510,056:


Ask a Question