Q: What are the prime factors of the number 12,321,134?

 A: 2, 7, 43, 97, 211

Why are those the prime factors of the number 12,321,134?

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 12,321,134

12,321,134
Factor Arrows
26,160,567
Factor Arrows
7880,081
Factor Arrows
4320,467
Factor Arrows
97211

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, 7, 43, 97, 211

We can check our work by multiplying all of the prime factors together: 2 x 7 x 43 x 97 x 211 = 12,321,134

This can also be written as 21 x 71 x 431 x 971 x 2111 = 12,321,134

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


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