Q: What are the prime factors of the number 273,138,011?

 A: 127, 151, 14243

Why are those the prime factors of the number 273,138,011?

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 273,138,011

273,138,011
Factor Arrows
1272,150,693
Factor Arrows
15114,243

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:

127, 151, 14243

We can check our work by multiplying all of the prime factors together: 127 x 151 x 14,243 = 273,138,011

This can also be written as 1271 x 1511 x 14,2431 = 273,138,011

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


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