Q: What are the prime factors of the number 1,017,549?

 A: 3, 13, 223

Why are those the prime factors of the number 1,017,549?

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 1,017,549

1,017,549
Factor Arrows
3339,183
Factor Arrows
3113,061
Factor Arrows
337,687
Factor Arrows
132,899
Factor Arrows
13223

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:

3, 13, 223

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 13 x 13 x 223 = 1,017,549

This can also be written as 33 x 132 x 2231 = 1,017,549

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


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