Q: What are the prime factors of the number 50,237,739?

 A: 3, 67, 9257

Why are those the prime factors of the number 50,237,739?

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 50,237,739

50,237,739
Factor Arrows
316,745,913
Factor Arrows
35,581,971
Factor Arrows
31,860,657
Factor Arrows
3620,219
Factor Arrows
679,257

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, 67, 9257

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 67 x 9,257 = 50,237,739

This can also be written as 34 x 671 x 9,2571 = 50,237,739

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


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