Q: What are the prime factors of the number 600,992?

 A: 2, 7, 2683

Why are those the prime factors of the number 600,992?

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 600,992

600,992
Factor Arrows
2300,496
Factor Arrows
2150,248
Factor Arrows
275,124
Factor Arrows
237,562
Factor Arrows
218,781
Factor Arrows
72,683

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, 7, 2683

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 7 x 2,683 = 600,992

This can also be written as 25 x 71 x 2,6831 = 600,992

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


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