Q: What are the prime factors of the number 50,507,008?

 A: 2, 197293

Why are those the prime factors of the number 50,507,008?

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 50,507,008

50,507,008
Factor Arrows
225,253,504
Factor Arrows
212,626,752
Factor Arrows
26,313,376
Factor Arrows
23,156,688
Factor Arrows
21,578,344
Factor Arrows
2789,172
Factor Arrows
2394,586
Factor Arrows
2197,293

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, 197293

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 197,293 = 50,507,008

This can also be written as 28 x 197,2931 = 50,507,008

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


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