Q: What are the prime factors of the number 570,650?

 A: 2, 5, 101, 113

Why are those the prime factors of the number 570,650?

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 570,650

570,650
Factor Arrows
2285,325
Factor Arrows
557,065
Factor Arrows
511,413
Factor Arrows
101113

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, 101, 113

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 101 x 113 = 570,650

This can also be written as 21 x 52 x 1011 x 1131 = 570,650

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


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