Q: What are the prime factors of the number 19,248?

 A: 2, 3, 401

Why are those the prime factors of the number 19,248?

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 19,248

19,248
Factor Arrows
29,624
Factor Arrows
24,812
Factor Arrows
22,406
Factor Arrows
21,203
Factor Arrows
3401

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, 401

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 401 = 19,248

This can also be written as 24 x 31 x 4011 = 19,248

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


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