Q: What are the prime factors of the number 50,234,640?

 A: 2, 3, 5, 209311

Why are those the prime factors of the number 50,234,640?

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 50,234,640

50,234,640
Factor Arrows
225,117,320
Factor Arrows
212,558,660
Factor Arrows
26,279,330
Factor Arrows
23,139,665
Factor Arrows
31,046,555
Factor Arrows
5209,311

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, 3, 5, 209311

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 5 x 209,311 = 50,234,640

This can also be written as 24 x 31 x 51 x 209,3111 = 50,234,640

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


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