Q: What are the prime factors of the number 55,044,112?

 A: 2, 1103, 3119

Why are those the prime factors of the number 55,044,112?

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 55,044,112

55,044,112
Factor Arrows
227,522,056
Factor Arrows
213,761,028
Factor Arrows
26,880,514
Factor Arrows
23,440,257
Factor Arrows
1,1033,119

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, 1103, 3119

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 1,103 x 3,119 = 55,044,112

This can also be written as 24 x 1,1031 x 3,1191 = 55,044,112

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


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