Q: What are the prime factors of the number 451,500,320?

 A: 2, 5, 2821877

Why are those the prime factors of the number 451,500,320?

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 451,500,320

451,500,320
Factor Arrows
2225,750,160
Factor Arrows
2112,875,080
Factor Arrows
256,437,540
Factor Arrows
228,218,770
Factor Arrows
214,109,385
Factor Arrows
52,821,877

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, 5, 2821877

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 2,821,877 = 451,500,320

This can also be written as 25 x 51 x 2,821,8771 = 451,500,320

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


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