Q: What are the prime factors of the number 273,745,706?

 A: 2, 13, 127, 82903

Why are those the prime factors of the number 273,745,706?

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 273,745,706

273,745,706
Factor Arrows
2136,872,853
Factor Arrows
1310,528,681
Factor Arrows
12782,903

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, 13, 127, 82903

We can check our work by multiplying all of the prime factors together: 2 x 13 x 127 x 82,903 = 273,745,706

This can also be written as 21 x 131 x 1271 x 82,9031 = 273,745,706

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


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