Q: What are the prime factors of the number 388,620?

 A: 2, 3, 5, 17, 127

Why are those the prime factors of the number 388,620?

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 388,620

388,620
Factor Arrows
2194,310
Factor Arrows
297,155
Factor Arrows
332,385
Factor Arrows
310,795
Factor Arrows
52,159
Factor Arrows
17127

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, 5, 17, 127

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 5 x 17 x 127 = 388,620

This can also be written as 22 x 32 x 51 x 171 x 1271 = 388,620

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


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