Q: What are the prime factors of the number 452,912?

 A: 2, 28307

Why are those the prime factors of the number 452,912?

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 452,912

452,912
Factor Arrows
2226,456
Factor Arrows
2113,228
Factor Arrows
256,614
Factor Arrows
228,307

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, 28307

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 28,307 = 452,912

This can also be written as 24 x 28,3071 = 452,912

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


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