Q: What are the prime factors of the number 126,062,550?

 A: 2, 3, 5, 280139

Why are those the prime factors of the number 126,062,550?

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 126,062,550

126,062,550
Factor Arrows
263,031,275
Factor Arrows
321,010,425
Factor Arrows
37,003,475
Factor Arrows
51,400,695
Factor Arrows
5280,139

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, 280139

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 5 x 280,139 = 126,062,550

This can also be written as 21 x 32 x 52 x 280,1391 = 126,062,550

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


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