Q: What are the prime factors of the number 430,016?

 A: 2, 6719

Why are those the prime factors of the number 430,016?

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 430,016

430,016
Factor Arrows
2215,008
Factor Arrows
2107,504
Factor Arrows
253,752
Factor Arrows
226,876
Factor Arrows
213,438
Factor Arrows
26,719

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, 6719

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 6,719 = 430,016

This can also be written as 26 x 6,7191 = 430,016

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


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