Q: What are the prime factors of the number 55,555,503?

 A: 3, 29, 31, 20599

Why are those the prime factors of the number 55,555,503?

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 55,555,503

55,555,503
Factor Arrows
318,518,501
Factor Arrows
29638,569
Factor Arrows
3120,599

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:

3, 29, 31, 20599

We can check our work by multiplying all of the prime factors together: 3 x 29 x 31 x 20,599 = 55,555,503

This can also be written as 31 x 291 x 311 x 20,5991 = 55,555,503

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


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