Q: What are the prime factors of the number 16,134,426?

 A: 2, 3, 7, 11, 1663

Why are those the prime factors of the number 16,134,426?

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 16,134,426

16,134,426
Factor Arrows
28,067,213
Factor Arrows
32,689,071
Factor Arrows
3896,357
Factor Arrows
7128,051
Factor Arrows
718,293
Factor Arrows
111,663

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, 7, 11, 1663

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 7 x 7 x 11 x 1,663 = 16,134,426

This can also be written as 21 x 32 x 72 x 111 x 1,6631 = 16,134,426

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


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