Q: What are the prime factors of the number 869,224?

 A: 2, 179, 607

Why are those the prime factors of the number 869,224?

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 869,224

869,224
Factor Arrows
2434,612
Factor Arrows
2217,306
Factor Arrows
2108,653
Factor Arrows
179607

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, 179, 607

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 179 x 607 = 869,224

This can also be written as 23 x 1791 x 6071 = 869,224

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


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