Q: What are the prime factors of the number 16,800,688?

 A: 2, 853, 1231

Why are those the prime factors of the number 16,800,688?

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 16,800,688

16,800,688
Factor Arrows
28,400,344
Factor Arrows
24,200,172
Factor Arrows
22,100,086
Factor Arrows
21,050,043
Factor Arrows
8531,231

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, 853, 1231

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 853 x 1,231 = 16,800,688

This can also be written as 24 x 8531 x 1,2311 = 16,800,688

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


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