Q: What are the prime factors of the number 16,655,232?

 A: 2, 3, 11, 3943

Why are those the prime factors of the number 16,655,232?

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 16,655,232

16,655,232
Factor Arrows
28,327,616
Factor Arrows
24,163,808
Factor Arrows
22,081,904
Factor Arrows
21,040,952
Factor Arrows
2520,476
Factor Arrows
2260,238
Factor Arrows
2130,119
Factor Arrows
343,373
Factor Arrows
113,943

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, 11, 3943

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 11 x 3,943 = 16,655,232

This can also be written as 27 x 31 x 111 x 3,9431 = 16,655,232

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


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