Q: What are the prime factors of the number 418,008?

 A: 2, 3, 17417

Why are those the prime factors of the number 418,008?

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 418,008

418,008
Factor Arrows
2209,004
Factor Arrows
2104,502
Factor Arrows
252,251
Factor Arrows
317,417

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, 17417

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 17,417 = 418,008

This can also be written as 23 x 31 x 17,4171 = 418,008

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


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