Q: What are the prime factors of the number 51,000,128?

 A: 2, 796877

Why are those the prime factors of the number 51,000,128?

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 51,000,128

51,000,128
Factor Arrows
225,500,064
Factor Arrows
212,750,032
Factor Arrows
26,375,016
Factor Arrows
23,187,508
Factor Arrows
21,593,754
Factor Arrows
2796,877

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, 796877

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 796,877 = 51,000,128

This can also be written as 26 x 796,8771 = 51,000,128

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


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