Q: What are the prime factors of the number 12,503,606?

 A: 2, 41, 139, 1097

Why are those the prime factors of the number 12,503,606?

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 12,503,606

12,503,606
Factor Arrows
26,251,803
Factor Arrows
41152,483
Factor Arrows
1391,097

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, 41, 139, 1097

We can check our work by multiplying all of the prime factors together: 2 x 41 x 139 x 1,097 = 12,503,606

This can also be written as 21 x 411 x 1391 x 1,0971 = 12,503,606

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


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