Q: What are the prime factors of the number 16,000,032?

 A: 2, 3, 166667

Why are those the prime factors of the number 16,000,032?

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 16,000,032

16,000,032
Factor Arrows
28,000,016
Factor Arrows
24,000,008
Factor Arrows
22,000,004
Factor Arrows
21,000,002
Factor Arrows
2500,001
Factor Arrows
3166,667

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, 166667

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 166,667 = 16,000,032

This can also be written as 25 x 31 x 166,6671 = 16,000,032

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


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