Q: What are the prime factors of the number 3,321,324?

 A: 2, 3, 17, 67

Why are those the prime factors of the number 3,321,324?

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 3,321,324

3,321,324
Factor Arrows
21,660,662
Factor Arrows
2830,331
Factor Arrows
3276,777
Factor Arrows
392,259
Factor Arrows
330,753
Factor Arrows
310,251
Factor Arrows
33,417
Factor Arrows
31,139
Factor Arrows
1767

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, 17, 67

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 17 x 67 = 3,321,324

This can also be written as 22 x 36 x 171 x 671 = 3,321,324

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


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