Q: What are the prime factors of the number 13,243,456?

 A: 2, 19, 10891

Why are those the prime factors of the number 13,243,456?

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 13,243,456

13,243,456
Factor Arrows
26,621,728
Factor Arrows
23,310,864
Factor Arrows
21,655,432
Factor Arrows
2827,716
Factor Arrows
2413,858
Factor Arrows
2206,929
Factor Arrows
1910,891

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, 19, 10891

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 19 x 10,891 = 13,243,456

This can also be written as 26 x 191 x 10,8911 = 13,243,456

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


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