Q: What are the prime factors of the number 20,241,414?

 A: 2, 3, 13883

Why are those the prime factors of the number 20,241,414?

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 20,241,414

20,241,414
Factor Arrows
210,120,707
Factor Arrows
33,373,569
Factor Arrows
31,124,523
Factor Arrows
3374,841
Factor Arrows
3124,947
Factor Arrows
341,649
Factor Arrows
313,883

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, 13883

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 3 x 3 x 13,883 = 20,241,414

This can also be written as 21 x 36 x 13,8831 = 20,241,414

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


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