Q: What are the prime factors of the number 449,672?

 A: 2, 56209

Why are those the prime factors of the number 449,672?

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 449,672

449,672
Factor Arrows
2224,836
Factor Arrows
2112,418
Factor Arrows
256,209

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, 56209

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 56,209 = 449,672

This can also be written as 23 x 56,2091 = 449,672

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


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