Q: What are the prime factors of the number 51,150,436?

 A: 2, 23, 89, 6247

Why are those the prime factors of the number 51,150,436?

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 51,150,436

51,150,436
Factor Arrows
225,575,218
Factor Arrows
212,787,609
Factor Arrows
23555,983
Factor Arrows
896,247

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, 23, 89, 6247

We can check our work by multiplying all of the prime factors together: 2 x 2 x 23 x 89 x 6,247 = 51,150,436

This can also be written as 22 x 231 x 891 x 6,2471 = 51,150,436

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


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