Q: What are the prime factors of the number 845,028?

 A: 2, 3, 23473

Why are those the prime factors of the number 845,028?

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 845,028

845,028
Factor Arrows
2422,514
Factor Arrows
2211,257
Factor Arrows
370,419
Factor Arrows
323,473

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, 3, 23473

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 23,473 = 845,028

This can also be written as 22 x 32 x 23,4731 = 845,028

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


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