Q: What are the prime factors of the number 845,288?

 A: 2, 157, 673

Why are those the prime factors of the number 845,288?

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 845,288

845,288
Factor Arrows
2422,644
Factor Arrows
2211,322
Factor Arrows
2105,661
Factor Arrows
157673

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, 157, 673

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 157 x 673 = 845,288

This can also be written as 23 x 1571 x 6731 = 845,288

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


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