Q: What are the prime factors of the number 557,840?

 A: 2, 5, 19, 367

Why are those the prime factors of the number 557,840?

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 557,840

557,840
Factor Arrows
2278,920
Factor Arrows
2139,460
Factor Arrows
269,730
Factor Arrows
234,865
Factor Arrows
56,973
Factor Arrows
19367

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, 5, 19, 367

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 19 x 367 = 557,840

This can also be written as 24 x 51 x 191 x 3671 = 557,840

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


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