Q: What are the prime factors of the number 794,375?

 A: 5, 31, 41

Why are those the prime factors of the number 794,375?

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 794,375

794,375
Factor Arrows
5158,875
Factor Arrows
531,775
Factor Arrows
56,355
Factor Arrows
51,271
Factor Arrows
3141

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:

5, 31, 41

We can check our work by multiplying all of the prime factors together: 5 x 5 x 5 x 5 x 31 x 41 = 794,375

This can also be written as 54 x 311 x 411 = 794,375

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


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