Q: What are the prime factors of the number 418,580?

 A: 2, 5, 20929

Why are those the prime factors of the number 418,580?

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 418,580

418,580
Factor Arrows
2209,290
Factor Arrows
2104,645
Factor Arrows
520,929

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, 20929

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 20,929 = 418,580

This can also be written as 22 x 51 x 20,9291 = 418,580

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


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