Q: What are the prime factors of the number 12,506,432?

 A: 2, 195413

Why are those the prime factors of the number 12,506,432?

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 12,506,432

12,506,432
Factor Arrows
26,253,216
Factor Arrows
23,126,608
Factor Arrows
21,563,304
Factor Arrows
2781,652
Factor Arrows
2390,826
Factor Arrows
2195,413

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, 195413

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 195,413 = 12,506,432

This can also be written as 26 x 195,4131 = 12,506,432

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


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