Q: What are the prime factors of the number 604,110,360?

 A: 2, 3, 5, 7, 719179

Why are those the prime factors of the number 604,110,360?

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 604,110,360

604,110,360
Factor Arrows
2302,055,180
Factor Arrows
2151,027,590
Factor Arrows
275,513,795
Factor Arrows
325,171,265
Factor Arrows
55,034,253
Factor Arrows
7719,179

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, 719179

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 7 x 719,179 = 604,110,360

This can also be written as 23 x 31 x 51 x 71 x 719,1791 = 604,110,360

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 604,110,360:


Ask a Question