Q: What are the prime factors of the number 732,672,464?

 A: 2, 61, 227, 3307

Why are those the prime factors of the number 732,672,464?

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 732,672,464

732,672,464
Factor Arrows
2366,336,232
Factor Arrows
2183,168,116
Factor Arrows
291,584,058
Factor Arrows
245,792,029
Factor Arrows
61750,689
Factor Arrows
2273,307

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, 61, 227, 3307

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 61 x 227 x 3,307 = 732,672,464

This can also be written as 24 x 611 x 2271 x 3,3071 = 732,672,464

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 732,672,464:


Ask a Question