Q: What are the prime factors of the number 655,450,317?

 A: 3, 17, 4283989

Why are those the prime factors of the number 655,450,317?

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 655,450,317

655,450,317
Factor Arrows
3218,483,439
Factor Arrows
372,827,813
Factor Arrows
174,283,989

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, 4283989

We can check our work by multiplying all of the prime factors together: 3 x 3 x 17 x 4,283,989 = 655,450,317

This can also be written as 32 x 171 x 4,283,9891 = 655,450,317

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


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