Q: What are the prime factors of the number 388,480?

 A: 2, 5, 607

Why are those the prime factors of the number 388,480?

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 388,480

388,480
Factor Arrows
2194,240
Factor Arrows
297,120
Factor Arrows
248,560
Factor Arrows
224,280
Factor Arrows
212,140
Factor Arrows
26,070
Factor Arrows
23,035
Factor Arrows
5607

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, 5, 607

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 607 = 388,480

This can also be written as 27 x 51 x 6071 = 388,480

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


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