Q: What are the prime factors of the number 622,700,000?

 A: 2, 5, 13, 479

Why are those the prime factors of the number 622,700,000?

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 622,700,000

622,700,000
Factor Arrows
2311,350,000
Factor Arrows
2155,675,000
Factor Arrows
277,837,500
Factor Arrows
238,918,750
Factor Arrows
219,459,375
Factor Arrows
53,891,875
Factor Arrows
5778,375
Factor Arrows
5155,675
Factor Arrows
531,135
Factor Arrows
56,227
Factor Arrows
13479

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, 13, 479

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 5 x 5 x 13 x 479 = 622,700,000

This can also be written as 25 x 55 x 131 x 4791 = 622,700,000

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 622,700,000:


Ask a Question