Q: What are the prime factors of the number 50,465,660?

 A: 2, 5, 7, 43, 83, 101

Why are those the prime factors of the number 50,465,660?

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 50,465,660

50,465,660
Factor Arrows
225,232,830
Factor Arrows
212,616,415
Factor Arrows
52,523,283
Factor Arrows
7360,469
Factor Arrows
438,383
Factor Arrows
83101

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, 5, 7, 43, 83, 101

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 7 x 43 x 83 x 101 = 50,465,660

This can also be written as 22 x 51 x 71 x 431 x 831 x 1011 = 50,465,660

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


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