Q: What are the prime factors of the number 55,053,102?

 A: 2, 3, 13, 54293

Why are those the prime factors of the number 55,053,102?

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 55,053,102

55,053,102
Factor Arrows
227,526,551
Factor Arrows
39,175,517
Factor Arrows
13705,809
Factor Arrows
1354,293

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, 13, 54293

We can check our work by multiplying all of the prime factors together: 2 x 3 x 13 x 13 x 54,293 = 55,053,102

This can also be written as 21 x 31 x 132 x 54,2931 = 55,053,102

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


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