Q: What are the prime factors of the number 12,041,412?

 A: 2, 3, 281, 3571

Why are those the prime factors of the number 12,041,412?

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 12,041,412

12,041,412
Factor Arrows
26,020,706
Factor Arrows
23,010,353
Factor Arrows
31,003,451
Factor Arrows
2813,571

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, 281, 3571

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 281 x 3,571 = 12,041,412

This can also be written as 22 x 31 x 2811 x 3,5711 = 12,041,412

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


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