Q: What are the prime factors of the number 594,560?

 A: 2, 5, 929

Why are those the prime factors of the number 594,560?

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 594,560

594,560
Factor Arrows
2297,280
Factor Arrows
2148,640
Factor Arrows
274,320
Factor Arrows
237,160
Factor Arrows
218,580
Factor Arrows
29,290
Factor Arrows
24,645
Factor Arrows
5929

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, 929

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 929 = 594,560

This can also be written as 27 x 51 x 9291 = 594,560

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


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