Q: What are the prime factors of the number 594,240?

 A: 2, 3, 5, 619

Why are those the prime factors of the number 594,240?

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 594,240

594,240
Factor Arrows
2297,120
Factor Arrows
2148,560
Factor Arrows
274,280
Factor Arrows
237,140
Factor Arrows
218,570
Factor Arrows
29,285
Factor Arrows
33,095
Factor Arrows
5619

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, 5, 619

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 3 x 5 x 619 = 594,240

This can also be written as 26 x 31 x 51 x 6191 = 594,240

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


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