Q: What are the prime factors of the number 50,513,152?

 A: 2, 23, 373

Why are those the prime factors of the number 50,513,152?

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 50,513,152

50,513,152
Factor Arrows
225,256,576
Factor Arrows
212,628,288
Factor Arrows
26,314,144
Factor Arrows
23,157,072
Factor Arrows
21,578,536
Factor Arrows
2789,268
Factor Arrows
2394,634
Factor Arrows
2197,317
Factor Arrows
238,579
Factor Arrows
23373

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, 23, 373

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 23 x 23 x 373 = 50,513,152

This can also be written as 28 x 232 x 3731 = 50,513,152

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


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