Q: What are the prime factors of the number 16,423,632?

 A: 2, 3, 17, 6709

Why are those the prime factors of the number 16,423,632?

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 16,423,632

16,423,632
Factor Arrows
28,211,816
Factor Arrows
24,105,908
Factor Arrows
22,052,954
Factor Arrows
21,026,477
Factor Arrows
3342,159
Factor Arrows
3114,053
Factor Arrows
176,709

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, 17, 6709

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 17 x 6,709 = 16,423,632

This can also be written as 24 x 32 x 171 x 6,7091 = 16,423,632

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


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