Q: What are the prime factors of the number 860,985?

 A: 3, 5, 19, 53

Why are those the prime factors of the number 860,985?

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 860,985

860,985
Factor Arrows
3286,995
Factor Arrows
395,665
Factor Arrows
519,133
Factor Arrows
191,007
Factor Arrows
1953

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:

3, 5, 19, 53

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 19 x 19 x 53 = 860,985

This can also be written as 32 x 51 x 192 x 531 = 860,985

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 860,985:


Ask a Question