Q: What are the prime factors of the number 411,828?

 A: 2, 3, 34319

Why are those the prime factors of the number 411,828?

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 411,828

411,828
Factor Arrows
2205,914
Factor Arrows
2102,957
Factor Arrows
334,319

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, 34319

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 34,319 = 411,828

This can also be written as 22 x 31 x 34,3191 = 411,828

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


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