Q: What are the prime factors of the number 845,124?

 A: 2, 3, 7, 10061

Why are those the prime factors of the number 845,124?

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 845,124

845,124
Factor Arrows
2422,562
Factor Arrows
2211,281
Factor Arrows
370,427
Factor Arrows
710,061

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, 7, 10061

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 7 x 10,061 = 845,124

This can also be written as 22 x 31 x 71 x 10,0611 = 845,124

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

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