Q: What are the prime factors of the number 710,720?

 A: 2, 5, 2221

Why are those the prime factors of the number 710,720?

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 710,720

710,720
Factor Arrows
2355,360
Factor Arrows
2177,680
Factor Arrows
288,840
Factor Arrows
244,420
Factor Arrows
222,210
Factor Arrows
211,105
Factor Arrows
52,221

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, 5, 2221

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 5 x 2,221 = 710,720

This can also be written as 26 x 51 x 2,2211 = 710,720

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 710,720:


Ask a Question