Q: What are the prime factors of the number 410,016?

 A: 2, 3, 4271

Why are those the prime factors of the number 410,016?

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 410,016

410,016
Factor Arrows
2205,008
Factor Arrows
2102,504
Factor Arrows
251,252
Factor Arrows
225,626
Factor Arrows
212,813
Factor Arrows
34,271

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, 4271

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 4,271 = 410,016

This can also be written as 25 x 31 x 4,2711 = 410,016

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


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