Q: What are the prime factors of the number 55,213,112?

 A: 2, 73, 94543

Why are those the prime factors of the number 55,213,112?

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 55,213,112

55,213,112
Factor Arrows
227,606,556
Factor Arrows
213,803,278
Factor Arrows
26,901,639
Factor Arrows
7394,543

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, 73, 94543

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 73 x 94,543 = 55,213,112

This can also be written as 23 x 731 x 94,5431 = 55,213,112

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


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