Q: What are the prime factors of the number 51,660,320?

 A: 2, 5, 322877

Why are those the prime factors of the number 51,660,320?

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 51,660,320

51,660,320
Factor Arrows
225,830,160
Factor Arrows
212,915,080
Factor Arrows
26,457,540
Factor Arrows
23,228,770
Factor Arrows
21,614,385
Factor Arrows
5322,877

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, 322877

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 322,877 = 51,660,320

This can also be written as 25 x 51 x 322,8771 = 51,660,320

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


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