Q: What are the prime factors of the number 12,430,236?

 A: 2, 3, 7, 13, 11383

Why are those the prime factors of the number 12,430,236?

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 12,430,236

12,430,236
Factor Arrows
26,215,118
Factor Arrows
23,107,559
Factor Arrows
31,035,853
Factor Arrows
7147,979
Factor Arrows
1311,383

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, 7, 13, 11383

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 7 x 13 x 11,383 = 12,430,236

This can also be written as 22 x 31 x 71 x 131 x 11,3831 = 12,430,236

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


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