Q: What are the prime factors of the number 13,481,216?

 A: 2, 7, 7523

Why are those the prime factors of the number 13,481,216?

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 13,481,216

13,481,216
Factor Arrows
26,740,608
Factor Arrows
23,370,304
Factor Arrows
21,685,152
Factor Arrows
2842,576
Factor Arrows
2421,288
Factor Arrows
2210,644
Factor Arrows
2105,322
Factor Arrows
252,661
Factor Arrows
77,523

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, 7, 7523

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 2 x 7 x 7,523 = 13,481,216

This can also be written as 28 x 71 x 7,5231 = 13,481,216

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


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