Q: What are the prime factors of the number 16,342,976?

 A: 2, 13, 1511

Why are those the prime factors of the number 16,342,976?

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 16,342,976

16,342,976
Factor Arrows
28,171,488
Factor Arrows
24,085,744
Factor Arrows
22,042,872
Factor Arrows
21,021,436
Factor Arrows
2510,718
Factor Arrows
2255,359
Factor Arrows
1319,643
Factor Arrows
131,511

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, 13, 1511

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 13 x 13 x 1,511 = 16,342,976

This can also be written as 26 x 132 x 1,5111 = 16,342,976

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


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