Q: What are the prime factors of the number 50,104,054?

 A: 2, 7, 11, 13, 29, 863

Why are those the prime factors of the number 50,104,054?

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 50,104,054

50,104,054
Factor Arrows
225,052,027
Factor Arrows
73,578,861
Factor Arrows
11325,351
Factor Arrows
1325,027
Factor Arrows
29863

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, 7, 11, 13, 29, 863

We can check our work by multiplying all of the prime factors together: 2 x 7 x 11 x 13 x 29 x 863 = 50,104,054

This can also be written as 21 x 71 x 111 x 131 x 291 x 8631 = 50,104,054

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


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