Q: What are the prime factors of the number 43,006,644?

 A: 2, 3, 269, 4441

Why are those the prime factors of the number 43,006,644?

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 43,006,644

43,006,644
Factor Arrows
221,503,322
Factor Arrows
210,751,661
Factor Arrows
33,583,887
Factor Arrows
31,194,629
Factor Arrows
2694,441

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, 269, 4441

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 269 x 4,441 = 43,006,644

This can also be written as 22 x 32 x 2691 x 4,4411 = 43,006,644

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


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