Q: What are the prime factors of the number 16,996,128?

 A: 2, 3, 177043

Why are those the prime factors of the number 16,996,128?

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 16,996,128

16,996,128
Factor Arrows
28,498,064
Factor Arrows
24,249,032
Factor Arrows
22,124,516
Factor Arrows
21,062,258
Factor Arrows
2531,129
Factor Arrows
3177,043

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, 177043

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 177,043 = 16,996,128

This can also be written as 25 x 31 x 177,0431 = 16,996,128

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


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