Q: What are the prime factors of the number 12,437,550?

 A: 2, 3, 5, 37, 83

Why are those the prime factors of the number 12,437,550?

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 12,437,550

12,437,550
Factor Arrows
26,218,775
Factor Arrows
32,072,925
Factor Arrows
3690,975
Factor Arrows
3230,325
Factor Arrows
376,775
Factor Arrows
515,355
Factor Arrows
53,071
Factor Arrows
3783

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, 5, 37, 83

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 5 x 5 x 37 x 83 = 12,437,550

This can also be written as 21 x 34 x 52 x 371 x 831 = 12,437,550

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


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