Q: What are the prime factors of the number 657,426,051?

 A: 3, 901819

Why are those the prime factors of the number 657,426,051?

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 657,426,051

657,426,051
Factor Arrows
3219,142,017
Factor Arrows
373,047,339
Factor Arrows
324,349,113
Factor Arrows
38,116,371
Factor Arrows
32,705,457
Factor Arrows
3901,819

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, 901819

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 3 x 901,819 = 657,426,051

This can also be written as 36 x 901,8191 = 657,426,051

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


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