Q: What are the prime factors of the number 51,438,336?

 A: 2, 3, 66977

Why are those the prime factors of the number 51,438,336?

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 51,438,336

51,438,336
Factor Arrows
225,719,168
Factor Arrows
212,859,584
Factor Arrows
26,429,792
Factor Arrows
23,214,896
Factor Arrows
21,607,448
Factor Arrows
2803,724
Factor Arrows
2401,862
Factor Arrows
2200,931
Factor Arrows
366,977

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, 66977

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 2 x 2 x 3 x 66,977 = 51,438,336

This can also be written as 28 x 31 x 66,9771 = 51,438,336

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


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