Q: What are the prime factors of the number 572,560?

 A: 2, 5, 17, 421

Why are those the prime factors of the number 572,560?

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 572,560

572,560
Factor Arrows
2286,280
Factor Arrows
2143,140
Factor Arrows
271,570
Factor Arrows
235,785
Factor Arrows
57,157
Factor Arrows
17421

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, 17, 421

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 17 x 421 = 572,560

This can also be written as 24 x 51 x 171 x 4211 = 572,560

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


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