Q: What are the prime factors of the number 3,218,144?

 A: 2, 19, 67, 79

Why are those the prime factors of the number 3,218,144?

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 3,218,144

3,218,144
Factor Arrows
21,609,072
Factor Arrows
2804,536
Factor Arrows
2402,268
Factor Arrows
2201,134
Factor Arrows
2100,567
Factor Arrows
195,293
Factor Arrows
6779

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, 19, 67, 79

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 19 x 67 x 79 = 3,218,144

This can also be written as 25 x 191 x 671 x 791 = 3,218,144

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


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