Q: What are the prime factors of the number 50,528,768?

 A: 2, 98689

Why are those the prime factors of the number 50,528,768?

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 50,528,768

50,528,768
Factor Arrows
225,264,384
Factor Arrows
212,632,192
Factor Arrows
26,316,096
Factor Arrows
23,158,048
Factor Arrows
21,579,024
Factor Arrows
2789,512
Factor Arrows
2394,756
Factor Arrows
2197,378
Factor Arrows
298,689

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, 98689

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 2 x 98,689 = 50,528,768

This can also be written as 29 x 98,6891 = 50,528,768

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


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