Q: What are the prime factors of the number 50,246,009?

 A: 11, 29, 31, 5081

Why are those the prime factors of the number 50,246,009?

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 50,246,009

50,246,009
Factor Arrows
114,567,819
Factor Arrows
29157,511
Factor Arrows
315,081

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:

11, 29, 31, 5081

We can check our work by multiplying all of the prime factors together: 11 x 29 x 31 x 5,081 = 50,246,009

This can also be written as 111 x 291 x 311 x 5,0811 = 50,246,009

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


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