Q: What are the prime factors of the number 420,640?

 A: 2, 5, 11, 239

Why are those the prime factors of the number 420,640?

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 420,640

420,640
Factor Arrows
2210,320
Factor Arrows
2105,160
Factor Arrows
252,580
Factor Arrows
226,290
Factor Arrows
213,145
Factor Arrows
52,629
Factor Arrows
11239

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, 11, 239

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 11 x 239 = 420,640

This can also be written as 25 x 51 x 111 x 2391 = 420,640

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


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