Q: What are the prime factors of the number 282,375,321?

 A: 3, 17, 19, 433, 673

Why are those the prime factors of the number 282,375,321?

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 282,375,321

282,375,321
Factor Arrows
394,125,107
Factor Arrows
175,536,771
Factor Arrows
19291,409
Factor Arrows
433673

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, 17, 19, 433, 673

We can check our work by multiplying all of the prime factors together: 3 x 17 x 19 x 433 x 673 = 282,375,321

This can also be written as 31 x 171 x 191 x 4331 x 6731 = 282,375,321

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


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