Q: What are the prime factors of the number 55,030,806?

 A: 2, 3, 29, 35141

Why are those the prime factors of the number 55,030,806?

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 55,030,806

55,030,806
Factor Arrows
227,515,403
Factor Arrows
39,171,801
Factor Arrows
33,057,267
Factor Arrows
31,019,089
Factor Arrows
2935,141

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, 29, 35141

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 29 x 35,141 = 55,030,806

This can also be written as 21 x 33 x 291 x 35,1411 = 55,030,806

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


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