Q: What are the prime factors of the number 38,388?

 A: 2, 3, 7, 457

Why are those the prime factors of the number 38,388?

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 38,388

38,388
Factor Arrows
219,194
Factor Arrows
29,597
Factor Arrows
33,199
Factor Arrows
7457

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, 7, 457

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 7 x 457 = 38,388

This can also be written as 22 x 31 x 71 x 4571 = 38,388

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


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