Q: What are the prime factors of the number 60,273,311?

 A: 7, 127, 151, 449

Why are those the prime factors of the number 60,273,311?

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 60,273,311

60,273,311
Factor Arrows
78,610,473
Factor Arrows
12767,799
Factor Arrows
151449

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:

7, 127, 151, 449

We can check our work by multiplying all of the prime factors together: 7 x 127 x 151 x 449 = 60,273,311

This can also be written as 71 x 1271 x 1511 x 4491 = 60,273,311

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


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