Q: What are the prime factors of the number 12,556,340?

 A: 2, 5, 19, 173, 191

Why are those the prime factors of the number 12,556,340?

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 12,556,340

12,556,340
Factor Arrows
26,278,170
Factor Arrows
23,139,085
Factor Arrows
5627,817
Factor Arrows
1933,043
Factor Arrows
173191

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, 5, 19, 173, 191

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 19 x 173 x 191 = 12,556,340

This can also be written as 22 x 51 x 191 x 1731 x 1911 = 12,556,340

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


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