Q: What are the prime factors of the number 16,525,696?

 A: 2, 11, 97

Why are those the prime factors of the number 16,525,696?

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 16,525,696

16,525,696
Factor Arrows
28,262,848
Factor Arrows
24,131,424
Factor Arrows
22,065,712
Factor Arrows
21,032,856
Factor Arrows
2516,428
Factor Arrows
2258,214
Factor Arrows
2129,107
Factor Arrows
1111,737
Factor Arrows
111,067
Factor Arrows
1197

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, 11, 97

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 11 x 11 x 11 x 97 = 16,525,696

This can also be written as 27 x 113 x 971 = 16,525,696

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


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