Q: What are the prime factors of the number 16,212,736?

 A: 2, 63331

Why are those the prime factors of the number 16,212,736?

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 16,212,736

16,212,736
Factor Arrows
28,106,368
Factor Arrows
24,053,184
Factor Arrows
22,026,592
Factor Arrows
21,013,296
Factor Arrows
2506,648
Factor Arrows
2253,324
Factor Arrows
2126,662
Factor Arrows
263,331

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, 63331

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 63,331 = 16,212,736

This can also be written as 28 x 63,3311 = 16,212,736

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


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