Q: What are the prime factors of the number 736,670,336?

 A: 2, 5755237

Why are those the prime factors of the number 736,670,336?

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 736,670,336

736,670,336
Factor Arrows
2368,335,168
Factor Arrows
2184,167,584
Factor Arrows
292,083,792
Factor Arrows
246,041,896
Factor Arrows
223,020,948
Factor Arrows
211,510,474
Factor Arrows
25,755,237

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, 5755237

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 2 x 5,755,237 = 736,670,336

This can also be written as 27 x 5,755,2371 = 736,670,336

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 736,670,336:


Ask a Question