Q: What are the prime factors of the number 1,104?

 A: 2, 3, 23

Why are those the prime factors of the number 1,104?

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 1,104

1,104
Factor Arrows
2552
Factor Arrows
2276
Factor Arrows
2138
Factor Arrows
269
Factor Arrows
323

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, 23

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 23 = 1,104

This can also be written as 24 x 31 x 231 = 1,104

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


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