Q: What are the prime factors of the number 43,010,112?

 A: 2, 3, 224011

Why are those the prime factors of the number 43,010,112?

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 43,010,112

43,010,112
Factor Arrows
221,505,056
Factor Arrows
210,752,528
Factor Arrows
25,376,264
Factor Arrows
22,688,132
Factor Arrows
21,344,066
Factor Arrows
2672,033
Factor Arrows
3224,011

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, 224011

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 3 x 224,011 = 43,010,112

This can also be written as 26 x 31 x 224,0111 = 43,010,112

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


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