Q: What are the prime factors of the number 50,410,260?

 A: 2, 3, 5, 103, 2719

Why are those the prime factors of the number 50,410,260?

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 50,410,260

50,410,260
Factor Arrows
225,205,130
Factor Arrows
212,602,565
Factor Arrows
34,200,855
Factor Arrows
31,400,285
Factor Arrows
5280,057
Factor Arrows
1032,719

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, 103, 2719

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 5 x 103 x 2,719 = 50,410,260

This can also be written as 22 x 32 x 51 x 1031 x 2,7191 = 50,410,260

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


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