Q: What are the prime factors of the number 51,662,112?

 A: 2, 3, 538147

Why are those the prime factors of the number 51,662,112?

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 51,662,112

51,662,112
Factor Arrows
225,831,056
Factor Arrows
212,915,528
Factor Arrows
26,457,764
Factor Arrows
23,228,882
Factor Arrows
21,614,441
Factor Arrows
3538,147

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, 3, 538147

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 538,147 = 51,662,112

This can also be written as 25 x 31 x 538,1471 = 51,662,112

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


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