Q: What are the prime factors of the number 570,284?

 A: 2, 11, 13, 997

Why are those the prime factors of the number 570,284?

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 570,284

570,284
Factor Arrows
2285,142
Factor Arrows
2142,571
Factor Arrows
1112,961
Factor Arrows
13997

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, 11, 13, 997

We can check our work by multiplying all of the prime factors together: 2 x 2 x 11 x 13 x 997 = 570,284

This can also be written as 22 x 111 x 131 x 9971 = 570,284

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


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