Q: What are the prime factors of the number 43,100,220?

 A: 2, 3, 5, 718337

Why are those the prime factors of the number 43,100,220?

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 43,100,220

43,100,220
Factor Arrows
221,550,110
Factor Arrows
210,775,055
Factor Arrows
33,591,685
Factor Arrows
5718,337

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, 5, 718337

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 718,337 = 43,100,220

This can also be written as 22 x 31 x 51 x 718,3371 = 43,100,220

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


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