Q: What are the prime factors of the number 16,550,112?

 A: 2, 3, 17, 10141

Why are those the prime factors of the number 16,550,112?

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 16,550,112

16,550,112
Factor Arrows
28,275,056
Factor Arrows
24,137,528
Factor Arrows
22,068,764
Factor Arrows
21,034,382
Factor Arrows
2517,191
Factor Arrows
3172,397
Factor Arrows
1710,141

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, 17, 10141

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 17 x 10,141 = 16,550,112

This can also be written as 25 x 31 x 171 x 10,1411 = 16,550,112

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


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