Q: What are the prime factors of the number 12,050,776?

 A: 2, 29, 127, 409

Why are those the prime factors of the number 12,050,776?

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 12,050,776

12,050,776
Factor Arrows
26,025,388
Factor Arrows
23,012,694
Factor Arrows
21,506,347
Factor Arrows
2951,943
Factor Arrows
127409

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, 29, 127, 409

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 29 x 127 x 409 = 12,050,776

This can also be written as 23 x 291 x 1271 x 4091 = 12,050,776

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


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