Q: What are the prime factors of the number 12,003,024?

 A: 2, 3, 11, 127, 179

Why are those the prime factors of the number 12,003,024?

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 12,003,024

12,003,024
Factor Arrows
26,001,512
Factor Arrows
23,000,756
Factor Arrows
21,500,378
Factor Arrows
2750,189
Factor Arrows
3250,063
Factor Arrows
1122,733
Factor Arrows
127179

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, 127, 179

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 11 x 127 x 179 = 12,003,024

This can also be written as 24 x 31 x 111 x 1271 x 1791 = 12,003,024

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


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