Q: What are the prime factors of the number 600,390?

 A: 2, 3, 5, 7, 953

Why are those the prime factors of the number 600,390?

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 600,390

600,390
Factor Arrows
2300,195
Factor Arrows
3100,065
Factor Arrows
333,355
Factor Arrows
56,671
Factor Arrows
7953

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, 7, 953

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 7 x 953 = 600,390

This can also be written as 21 x 32 x 51 x 71 x 9531 = 600,390

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


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