Q: What are the prime factors of the number 875,794?

 A: 2, 23, 79, 241

Why are those the prime factors of the number 875,794?

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 875,794

875,794
Factor Arrows
2437,897
Factor Arrows
2319,039
Factor Arrows
79241

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, 23, 79, 241

We can check our work by multiplying all of the prime factors together: 2 x 23 x 79 x 241 = 875,794

This can also be written as 21 x 231 x 791 x 2411 = 875,794

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


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