Q: What are the prime factors of the number 137,346,696?

 A: 2, 3, 1907593

Why are those the prime factors of the number 137,346,696?

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 137,346,696

137,346,696
Factor Arrows
268,673,348
Factor Arrows
234,336,674
Factor Arrows
217,168,337
Factor Arrows
35,722,779
Factor Arrows
31,907,593

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, 1907593

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 1,907,593 = 137,346,696

This can also be written as 23 x 32 x 1,907,5931 = 137,346,696

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 137,346,696:


Ask a Question