Q: What are the prime factors of the number 50,738,784?

 A: 2, 3, 727

Why are those the prime factors of the number 50,738,784?

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 50,738,784

50,738,784
Factor Arrows
225,369,392
Factor Arrows
212,684,696
Factor Arrows
26,342,348
Factor Arrows
23,171,174
Factor Arrows
21,585,587
Factor Arrows
3528,529
Factor Arrows
727727

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, 3, 727

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 727 x 727 = 50,738,784

This can also be written as 25 x 31 x 7272 = 50,738,784

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


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