Q: What are the prime factors of the number 304,224?

 A: 2, 3, 3169

Why are those the prime factors of the number 304,224?

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 304,224

304,224
Factor Arrows
2152,112
Factor Arrows
276,056
Factor Arrows
238,028
Factor Arrows
219,014
Factor Arrows
29,507
Factor Arrows
33,169

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, 3169

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 3,169 = 304,224

This can also be written as 25 x 31 x 3,1691 = 304,224

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


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