Q: What are the prime factors of the number 850,656?

 A: 2, 3, 8861

Why are those the prime factors of the number 850,656?

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 850,656

850,656
Factor Arrows
2425,328
Factor Arrows
2212,664
Factor Arrows
2106,332
Factor Arrows
253,166
Factor Arrows
226,583
Factor Arrows
38,861

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, 8861

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 8,861 = 850,656

This can also be written as 25 x 31 x 8,8611 = 850,656

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 850,656:


Ask a Question