Q: What are the prime factors of the number 372,690?

 A: 2, 3, 5, 41, 101

Why are those the prime factors of the number 372,690?

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 372,690

372,690
Factor Arrows
2186,345
Factor Arrows
362,115
Factor Arrows
320,705
Factor Arrows
54,141
Factor Arrows
41101

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, 5, 41, 101

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 41 x 101 = 372,690

This can also be written as 21 x 32 x 51 x 411 x 1011 = 372,690

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 372,690:


Ask a Question