Q: What are the prime factors of the number 450,204,662?

 A: 2, 109, 863, 2393

Why are those the prime factors of the number 450,204,662?

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 450,204,662

450,204,662
Factor Arrows
2225,102,331
Factor Arrows
1092,065,159
Factor Arrows
8632,393

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, 109, 863, 2393

We can check our work by multiplying all of the prime factors together: 2 x 109 x 863 x 2,393 = 450,204,662

This can also be written as 21 x 1091 x 8631 x 2,3931 = 450,204,662

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


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