Q: What are the prime factors of the number 679,200?

 A: 2, 3, 5, 283

Why are those the prime factors of the number 679,200?

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 679,200

679,200
Factor Arrows
2339,600
Factor Arrows
2169,800
Factor Arrows
284,900
Factor Arrows
242,450
Factor Arrows
221,225
Factor Arrows
37,075
Factor Arrows
51,415
Factor Arrows
5283

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, 283

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 283 = 679,200

This can also be written as 25 x 31 x 52 x 2831 = 679,200

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 679,200:


Ask a Question