Q: What are the prime factors of the number 875,944?

 A: 2, 223, 491

Why are those the prime factors of the number 875,944?

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 875,944

875,944
Factor Arrows
2437,972
Factor Arrows
2218,986
Factor Arrows
2109,493
Factor Arrows
223491

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, 223, 491

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 223 x 491 = 875,944

This can also be written as 23 x 2231 x 4911 = 875,944

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


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