Q: What are the prime factors of the number 50,347,072?

 A: 2, 786673

Why are those the prime factors of the number 50,347,072?

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 50,347,072

50,347,072
Factor Arrows
225,173,536
Factor Arrows
212,586,768
Factor Arrows
26,293,384
Factor Arrows
23,146,692
Factor Arrows
21,573,346
Factor Arrows
2786,673

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, 786673

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 786,673 = 50,347,072

This can also be written as 26 x 786,6731 = 50,347,072

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


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