Q: What are the prime factors of the number 557,272?

 A: 2, 41, 1699

Why are those the prime factors of the number 557,272?

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 557,272

557,272
Factor Arrows
2278,636
Factor Arrows
2139,318
Factor Arrows
269,659
Factor Arrows
411,699

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, 41, 1699

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 41 x 1,699 = 557,272

This can also be written as 23 x 411 x 1,6991 = 557,272

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


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