Q: What are the prime factors of the number 12,211,254?

 A: 2, 3, 11, 61673

Why are those the prime factors of the number 12,211,254?

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 12,211,254

12,211,254
Factor Arrows
26,105,627
Factor Arrows
32,035,209
Factor Arrows
3678,403
Factor Arrows
1161,673

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, 11, 61673

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 11 x 61,673 = 12,211,254

This can also be written as 21 x 32 x 111 x 61,6731 = 12,211,254

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


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