Q: What are the prime factors of the number 13,602,944?

 A: 2, 106273

Why are those the prime factors of the number 13,602,944?

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 13,602,944

13,602,944
Factor Arrows
26,801,472
Factor Arrows
23,400,736
Factor Arrows
21,700,368
Factor Arrows
2850,184
Factor Arrows
2425,092
Factor Arrows
2212,546
Factor Arrows
2106,273

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, 106273

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 106,273 = 13,602,944

This can also be written as 27 x 106,2731 = 13,602,944

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


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