Q: What are the prime factors of the number 16,456,660?

 A: 2, 5, 11, 19, 31, 127

Why are those the prime factors of the number 16,456,660?

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 16,456,660

16,456,660
Factor Arrows
28,228,330
Factor Arrows
24,114,165
Factor Arrows
5822,833
Factor Arrows
1174,803
Factor Arrows
193,937
Factor Arrows
31127

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, 5, 11, 19, 31, 127

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 11 x 19 x 31 x 127 = 16,456,660

This can also be written as 22 x 51 x 111 x 191 x 311 x 1271 = 16,456,660

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


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