Q: What are the prime factors of the number 50,176,304?

 A: 2, 3136019

Why are those the prime factors of the number 50,176,304?

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 50,176,304

50,176,304
Factor Arrows
225,088,152
Factor Arrows
212,544,076
Factor Arrows
26,272,038
Factor Arrows
23,136,019

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, 3136019

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3,136,019 = 50,176,304

This can also be written as 24 x 3,136,0191 = 50,176,304

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


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