Q: What are the prime factors of the number 50,612,072?

 A: 2, 7, 83, 10889

Why are those the prime factors of the number 50,612,072?

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 50,612,072

50,612,072
Factor Arrows
225,306,036
Factor Arrows
212,653,018
Factor Arrows
26,326,509
Factor Arrows
7903,787
Factor Arrows
8310,889

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, 83, 10889

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 7 x 83 x 10,889 = 50,612,072

This can also be written as 23 x 71 x 831 x 10,8891 = 50,612,072

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


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