Q: What are the prime factors of the number 845,224?

 A: 2, 105653

Why are those the prime factors of the number 845,224?

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 845,224

845,224
Factor Arrows
2422,612
Factor Arrows
2211,306
Factor Arrows
2105,653

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, 105653

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 105,653 = 845,224

This can also be written as 23 x 105,6531 = 845,224

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


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