Q: What are the prime factors of the number 413,796?

 A: 2, 3, 34483

Why are those the prime factors of the number 413,796?

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 413,796

413,796
Factor Arrows
2206,898
Factor Arrows
2103,449
Factor Arrows
334,483

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, 34483

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 34,483 = 413,796

This can also be written as 22 x 31 x 34,4831 = 413,796

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


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