Q: What are the prime factors of the number 16,236,672?

 A: 2, 3, 42283

Why are those the prime factors of the number 16,236,672?

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 16,236,672

16,236,672
Factor Arrows
28,118,336
Factor Arrows
24,059,168
Factor Arrows
22,029,584
Factor Arrows
21,014,792
Factor Arrows
2507,396
Factor Arrows
2253,698
Factor Arrows
2126,849
Factor Arrows
342,283

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, 42283

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 42,283 = 16,236,672

This can also be written as 27 x 31 x 42,2831 = 16,236,672

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


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