Q: What are the prime factors of the number 12,675,968?

 A: 2, 167, 593

Why are those the prime factors of the number 12,675,968?

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 12,675,968

12,675,968
Factor Arrows
26,337,984
Factor Arrows
23,168,992
Factor Arrows
21,584,496
Factor Arrows
2792,248
Factor Arrows
2396,124
Factor Arrows
2198,062
Factor Arrows
299,031
Factor Arrows
167593

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, 167, 593

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 2 x 167 x 593 = 12,675,968

This can also be written as 27 x 1671 x 5931 = 12,675,968

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


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