Q: What are the prime factors of the number 12,140,220?

 A: 2, 3, 5, 31, 61, 107

Why are those the prime factors of the number 12,140,220?

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 12,140,220

12,140,220
Factor Arrows
26,070,110
Factor Arrows
23,035,055
Factor Arrows
31,011,685
Factor Arrows
5202,337
Factor Arrows
316,527
Factor Arrows
61107

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, 5, 31, 61, 107

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 31 x 61 x 107 = 12,140,220

This can also be written as 22 x 31 x 51 x 311 x 611 x 1071 = 12,140,220

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


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