Q: What are the prime factors of the number 304,551?

 A: 3, 13, 19, 137

Why are those the prime factors of the number 304,551?

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 304,551

304,551
Factor Arrows
3101,517
Factor Arrows
333,839
Factor Arrows
132,603
Factor Arrows
19137

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, 19, 137

We can check our work by multiplying all of the prime factors together: 3 x 3 x 13 x 19 x 137 = 304,551

This can also be written as 32 x 131 x 191 x 1371 = 304,551

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


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