Q: What are the prime factors of the number 790,948?

 A: 2, 79, 2503

Why are those the prime factors of the number 790,948?

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 790,948

790,948
Factor Arrows
2395,474
Factor Arrows
2197,737
Factor Arrows
792,503

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, 79, 2503

We can check our work by multiplying all of the prime factors together: 2 x 2 x 79 x 2,503 = 790,948

This can also be written as 22 x 791 x 2,5031 = 790,948

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


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