Q: What are the prime factors of the number 600,590?

 A: 2, 5, 19, 29, 109

Why are those the prime factors of the number 600,590?

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 600,590

600,590
Factor Arrows
2300,295
Factor Arrows
560,059
Factor Arrows
193,161
Factor Arrows
29109

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, 19, 29, 109

We can check our work by multiplying all of the prime factors together: 2 x 5 x 19 x 29 x 109 = 600,590

This can also be written as 21 x 51 x 191 x 291 x 1091 = 600,590

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


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