Q: What are the prime factors of the number 19,224?

 A: 2, 3, 89

Why are those the prime factors of the number 19,224?

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 19,224

19,224
Factor Arrows
29,612
Factor Arrows
24,806
Factor Arrows
22,403
Factor Arrows
3801
Factor Arrows
3267
Factor Arrows
389

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, 89

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 89 = 19,224

This can also be written as 23 x 33 x 891 = 19,224

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


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