Q: What are the prime factors of the number 12,104,148?

 A: 2, 3, 7, 103, 1399

Why are those the prime factors of the number 12,104,148?

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 12,104,148

12,104,148
Factor Arrows
26,052,074
Factor Arrows
23,026,037
Factor Arrows
31,008,679
Factor Arrows
7144,097
Factor Arrows
1031,399

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, 7, 103, 1399

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 7 x 103 x 1,399 = 12,104,148

This can also be written as 22 x 31 x 71 x 1031 x 1,3991 = 12,104,148

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


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