Q: What are the prime factors of the number 16,339,860?

 A: 2, 3, 5, 30259

Why are those the prime factors of the number 16,339,860?

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 16,339,860

16,339,860
Factor Arrows
28,169,930
Factor Arrows
24,084,965
Factor Arrows
31,361,655
Factor Arrows
3453,885
Factor Arrows
3151,295
Factor Arrows
530,259

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, 30259

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 5 x 30,259 = 16,339,860

This can also be written as 22 x 33 x 51 x 30,2591 = 16,339,860

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


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