Q: What are the prime factors of the number 51,122,372?

 A: 2, 7, 137, 13327

Why are those the prime factors of the number 51,122,372?

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 51,122,372

51,122,372
Factor Arrows
225,561,186
Factor Arrows
212,780,593
Factor Arrows
71,825,799
Factor Arrows
13713,327

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, 7, 137, 13327

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 137 x 13,327 = 51,122,372

This can also be written as 22 x 71 x 1371 x 13,3271 = 51,122,372

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


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