Q: What are the prime factors of the number 426,404,439?

 A: 3, 1093, 14449

Why are those the prime factors of the number 426,404,439?

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 426,404,439

426,404,439
Factor Arrows
3142,134,813
Factor Arrows
347,378,271
Factor Arrows
315,792,757
Factor Arrows
1,09314,449

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:

3, 1093, 14449

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 1,093 x 14,449 = 426,404,439

This can also be written as 33 x 1,0931 x 14,4491 = 426,404,439

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


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