Q: What are the prime factors of the number 12,015,552?

 A: 2, 3, 62581

Why are those the prime factors of the number 12,015,552?

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 12,015,552

12,015,552
Factor Arrows
26,007,776
Factor Arrows
23,003,888
Factor Arrows
21,501,944
Factor Arrows
2750,972
Factor Arrows
2375,486
Factor Arrows
2187,743
Factor Arrows
362,581

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, 62581

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 3 x 62,581 = 12,015,552

This can also be written as 26 x 31 x 62,5811 = 12,015,552

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


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