Q: What are the prime factors of the number 572,964?

 A: 2, 3, 7, 19, 359

Why are those the prime factors of the number 572,964?

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 572,964

572,964
Factor Arrows
2286,482
Factor Arrows
2143,241
Factor Arrows
347,747
Factor Arrows
76,821
Factor Arrows
19359

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, 3, 7, 19, 359

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 7 x 19 x 359 = 572,964

This can also be written as 22 x 31 x 71 x 191 x 3591 = 572,964

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


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