Q: What are the prime factors of the number 320,416?

 A: 2, 17, 19, 31

Why are those the prime factors of the number 320,416?

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 320,416

320,416
Factor Arrows
2160,208
Factor Arrows
280,104
Factor Arrows
240,052
Factor Arrows
220,026
Factor Arrows
210,013
Factor Arrows
17589
Factor Arrows
1931

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, 17, 19, 31

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 17 x 19 x 31 = 320,416

This can also be written as 25 x 171 x 191 x 311 = 320,416

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


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