Q: What are the prime factors of the number 572,412?

 A: 2, 3, 47701

Why are those the prime factors of the number 572,412?

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 572,412

572,412
Factor Arrows
2286,206
Factor Arrows
2143,103
Factor Arrows
347,701

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, 47701

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 47,701 = 572,412

This can also be written as 22 x 31 x 47,7011 = 572,412

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


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