Q: What are the prime factors of the number 413,700?

 A: 2, 3, 5, 7, 197

Why are those the prime factors of the number 413,700?

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 413,700

413,700
Factor Arrows
2206,850
Factor Arrows
2103,425
Factor Arrows
334,475
Factor Arrows
56,895
Factor Arrows
51,379
Factor Arrows
7197

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, 7, 197

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 5 x 7 x 197 = 413,700

This can also be written as 22 x 31 x 52 x 71 x 1971 = 413,700

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 413,700:


Ask a Question