Q: What are the prime factors of the number 16,600,250?

 A: 2, 5, 23, 2887

Why are those the prime factors of the number 16,600,250?

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 16,600,250

16,600,250
Factor Arrows
28,300,125
Factor Arrows
51,660,025
Factor Arrows
5332,005
Factor Arrows
566,401
Factor Arrows
232,887

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, 5, 23, 2887

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 5 x 23 x 2,887 = 16,600,250

This can also be written as 21 x 53 x 231 x 2,8871 = 16,600,250

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


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