Q: What are the prime factors of the number 12,424,503?

 A: 3, 7, 13, 71, 641

Why are those the prime factors of the number 12,424,503?

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 12,424,503

12,424,503
Factor Arrows
34,141,501
Factor Arrows
7591,643
Factor Arrows
1345,511
Factor Arrows
71641

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:

3, 7, 13, 71, 641

We can check our work by multiplying all of the prime factors together: 3 x 7 x 13 x 71 x 641 = 12,424,503

This can also be written as 31 x 71 x 131 x 711 x 6411 = 12,424,503

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


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