Q: What are the prime factors of the number 651,001,044?

 A: 2, 3, 59, 401, 2293

Why are those the prime factors of the number 651,001,044?

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 651,001,044

651,001,044
Factor Arrows
2325,500,522
Factor Arrows
2162,750,261
Factor Arrows
354,250,087
Factor Arrows
59919,493
Factor Arrows
4012,293

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, 59, 401, 2293

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 59 x 401 x 2,293 = 651,001,044

This can also be written as 22 x 31 x 591 x 4011 x 2,2931 = 651,001,044

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 651,001,044:


Ask a Question