Q: What are the prime factors of the number 685,872?

 A: 2, 3, 11, 433

Why are those the prime factors of the number 685,872?

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 685,872

685,872
Factor Arrows
2342,936
Factor Arrows
2171,468
Factor Arrows
285,734
Factor Arrows
242,867
Factor Arrows
314,289
Factor Arrows
34,763
Factor Arrows
11433

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, 433

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 11 x 433 = 685,872

This can also be written as 24 x 32 x 111 x 4331 = 685,872

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 685,872:


Ask a Question