Q: What are the prime factors of the number 12,385,527?

 A: 3, 7, 11, 53617

Why are those the prime factors of the number 12,385,527?

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 12,385,527

12,385,527
Factor Arrows
34,128,509
Factor Arrows
7589,787
Factor Arrows
1153,617

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, 11, 53617

We can check our work by multiplying all of the prime factors together: 3 x 7 x 11 x 53,617 = 12,385,527

This can also be written as 31 x 71 x 111 x 53,6171 = 12,385,527

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


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