Q: What are the prime factors of the number 422,520?

 A: 2, 3, 5, 7, 503

Why are those the prime factors of the number 422,520?

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 422,520

422,520
Factor Arrows
2211,260
Factor Arrows
2105,630
Factor Arrows
252,815
Factor Arrows
317,605
Factor Arrows
53,521
Factor Arrows
7503

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, 7, 503

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 7 x 503 = 422,520

This can also be written as 23 x 31 x 51 x 71 x 5031 = 422,520

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


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