Q: What are the prime factors of the number 668,250?

 A: 2, 3, 5, 11

Why are those the prime factors of the number 668,250?

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 668,250

668,250
Factor Arrows
2334,125
Factor Arrows
3111,375
Factor Arrows
337,125
Factor Arrows
312,375
Factor Arrows
34,125
Factor Arrows
31,375
Factor Arrows
5275
Factor Arrows
555
Factor Arrows
511

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, 5, 11

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 3 x 5 x 5 x 5 x 11 = 668,250

This can also be written as 21 x 35 x 53 x 111 = 668,250

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


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