Q: What are the prime factors of the number 651,425,499?

 A: 3, 17, 47, 157, 577

Why are those the prime factors of the number 651,425,499?

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 651,425,499

651,425,499
Factor Arrows
3217,141,833
Factor Arrows
372,380,611
Factor Arrows
174,257,683
Factor Arrows
4790,589
Factor Arrows
157577

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:

3, 17, 47, 157, 577

We can check our work by multiplying all of the prime factors together: 3 x 3 x 17 x 47 x 157 x 577 = 651,425,499

This can also be written as 32 x 171 x 471 x 1571 x 5771 = 651,425,499

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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