Q: What are the prime factors of the number 518,343,616?

 A: 2, 7, 1157017

Why are those the prime factors of the number 518,343,616?

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 518,343,616

518,343,616
Factor Arrows
2259,171,808
Factor Arrows
2129,585,904
Factor Arrows
264,792,952
Factor Arrows
232,396,476
Factor Arrows
216,198,238
Factor Arrows
28,099,119
Factor Arrows
71,157,017

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, 7, 1157017

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 7 x 1,157,017 = 518,343,616

This can also be written as 26 x 71 x 1,157,0171 = 518,343,616

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 518,343,616:


Ask a Question