Q: What are the prime factors of the number 50,346,441?

 A: 3, 207187

Why are those the prime factors of the number 50,346,441?

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 50,346,441

50,346,441
Factor Arrows
316,782,147
Factor Arrows
35,594,049
Factor Arrows
31,864,683
Factor Arrows
3621,561
Factor Arrows
3207,187

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:

3, 207187

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 207,187 = 50,346,441

This can also be written as 35 x 207,1871 = 50,346,441

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


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