Q: What are the prime factors of the number 50,433,536?

 A: 2, 137, 719

Why are those the prime factors of the number 50,433,536?

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 50,433,536

50,433,536
Factor Arrows
225,216,768
Factor Arrows
212,608,384
Factor Arrows
26,304,192
Factor Arrows
23,152,096
Factor Arrows
21,576,048
Factor Arrows
2788,024
Factor Arrows
2394,012
Factor Arrows
2197,006
Factor Arrows
298,503
Factor Arrows
137719

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, 137, 719

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 137 x 719 = 50,433,536

This can also be written as 29 x 1371 x 7191 = 50,433,536

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


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