Q: What are the prime factors of the number 13,341,536?

 A: 2, 13, 2467

Why are those the prime factors of the number 13,341,536?

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 13,341,536

13,341,536
Factor Arrows
26,670,768
Factor Arrows
23,335,384
Factor Arrows
21,667,692
Factor Arrows
2833,846
Factor Arrows
2416,923
Factor Arrows
1332,071
Factor Arrows
132,467

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, 2467

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 13 x 13 x 2,467 = 13,341,536

This can also be written as 25 x 132 x 2,4671 = 13,341,536

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


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