Q: What are the prime factors of the number 793,068?

 A: 2, 3, 66089

Why are those the prime factors of the number 793,068?

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 793,068

793,068
Factor Arrows
2396,534
Factor Arrows
2198,267
Factor Arrows
366,089

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, 66089

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 66,089 = 793,068

This can also be written as 22 x 31 x 66,0891 = 793,068

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


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