Q: What are the prime factors of the number 68,875,092?

 A: 2, 3, 11, 13, 17, 787

Why are those the prime factors of the number 68,875,092?

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 68,875,092

68,875,092
Factor Arrows
234,437,546
Factor Arrows
217,218,773
Factor Arrows
35,739,591
Factor Arrows
31,913,197
Factor Arrows
11173,927
Factor Arrows
1313,379
Factor Arrows
17787

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, 11, 13, 17, 787

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 11 x 13 x 17 x 787 = 68,875,092

This can also be written as 22 x 32 x 111 x 131 x 171 x 7871 = 68,875,092

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 68,875,092:


Ask a Question