Q: What are the prime factors of the number 55,656,249?

 A: 3, 11, 17, 29, 311

Why are those the prime factors of the number 55,656,249?

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 55,656,249

55,656,249
Factor Arrows
318,552,083
Factor Arrows
111,686,553
Factor Arrows
11153,323
Factor Arrows
179,019
Factor Arrows
29311

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, 11, 17, 29, 311

We can check our work by multiplying all of the prime factors together: 3 x 11 x 11 x 17 x 29 x 311 = 55,656,249

This can also be written as 31 x 112 x 171 x 291 x 3111 = 55,656,249

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


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