Q: What are the prime factors of the number 16,600,300?

 A: 2, 5, 19, 8737

Why are those the prime factors of the number 16,600,300?

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 16,600,300

16,600,300
Factor Arrows
28,300,150
Factor Arrows
24,150,075
Factor Arrows
5830,015
Factor Arrows
5166,003
Factor Arrows
198,737

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, 19, 8737

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 5 x 19 x 8,737 = 16,600,300

This can also be written as 22 x 52 x 191 x 8,7371 = 16,600,300

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


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