Q: What are the prime factors of the number 16,671,232?

 A: 2, 32561

Why are those the prime factors of the number 16,671,232?

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 16,671,232

16,671,232
Factor Arrows
28,335,616
Factor Arrows
24,167,808
Factor Arrows
22,083,904
Factor Arrows
21,041,952
Factor Arrows
2520,976
Factor Arrows
2260,488
Factor Arrows
2130,244
Factor Arrows
265,122
Factor Arrows
232,561

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, 32561

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 2 x 2 x 32,561 = 16,671,232

This can also be written as 29 x 32,5611 = 16,671,232

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


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