Q: What are the prime factors of the number 814,752,702?

 A: 2, 3, 3583, 4211

Why are those the prime factors of the number 814,752,702?

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 814,752,702

814,752,702
Factor Arrows
2407,376,351
Factor Arrows
3135,792,117
Factor Arrows
345,264,039
Factor Arrows
315,088,013
Factor Arrows
3,5834,211

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, 3583, 4211

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3,583 x 4,211 = 814,752,702

This can also be written as 21 x 33 x 3,5831 x 4,2111 = 814,752,702

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 814,752,702:


Ask a Question