Factors of 273
Factors of 273 are the list of integers that can be evenly divided into 273. There are overall 8 factors of 273 i.e. 1, 3, 7, 13, 21, 39, 91, 273 where 273 is the biggest factor. The sum of all factors of 273 is 448 and its factors in Pairs are (1, 273), (3, 91), (7, 39), (13, 21).
 All Factors of 273: 1, 3, 7, 13, 21, 39, 91 and 273
 Negative Factors of 273: 1, 3, 7, 13, 21, 39, 91 and 273
 Prime Factors of 273: 3, 7, 13
 Prime Factorization of 273: 3^{1} × 7^{1} × 13^{1}
 Sum of Factors of 273: 448
1.  What Are the Factors of 273? 
2.  Factors of 273 by Prime Factorization 
3.  Factors of 273 in Pairs 
4.  FAQs on Factors of 273 
What are Factors of 273?
Factors of 273 are pairs of those numbers whose products result in 273. These factors are either prime numbers or composite numbers.
How to Find the Factors of 273?
To find the factors of 273, we will have to find the list of numbers that would divide 273 without leaving any remainder.
 273/7 = 39; therefore, 7 is a factor of 273 and 39 is also a factor of 273.
 273/21 = 13; therefore, 21 is a factor of 273 and 13 is also a factor of 273.
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Factors of 273 by Prime Factorization
 273 ÷ 3 = 91
Further dividing 91 by 3 gives a nonzero remainder. So we stop the process and continue dividing the number 91 by the next smallest prime factor. We stop ultimately if the next prime factor doesn't exist or when we can't divide any further.
So, the prime factorization of 273 can be written as 3^{1} × 7^{1} × 13^{1} where 3, 7, 13 are prime.
Factors of 273 in Pairs
Pair factors of 273 are the pairs of numbers that when multiplied give the product 273. The factors of 273 in pairs are:
 1 × 273 = (1, 273)
 3 × 91 = (3, 91)
 7 × 39 = (7, 39)
 13 × 21 = (13, 21)
Negative pair factors of 273 are:
 1 × 273 = (1, 273)
 3 × 91 = (3, 91)
 7 × 39 = (7, 39)
 13 × 21 = (13, 21)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 273 Solved Examples

Example 1: How many factors are there for 273?
Solution:
The factors of 273 are 1, 3, 7, 13, 21, 39, 91, 273. Therefore, 273 has 8 factors.

Example 2: Find the Least Common Multiple and Greatest Common Factor (GCF) of 273 and 232.
Solution:
The factors of 273 are 1, 3, 7, 13, 21, 39, 91, 273 and factors of 232 are 1, 2, 4, 8, 29, 58, 116, 232.
Therefore, the Least Common Multiple of 273 and 232 is 63336 and Greatest Common Factor (GCF) of 273 and 232 is 1. 
Example 3: Find if 1, 3, 7, 91 and 241 are factors of 273.
Solution:
When we divide 273 by 241 it leaves a remainder. Therefore, the number 241 is not a factor of 273. All numbers except 241 are factors of 273.

Example 4: Find the product of all the prime factors of 273.
Solution:
Since, the prime factors of 273 are 3, 7, 13. Therefore, the product of prime factors = 3 × 7 × 13 = 273.
FAQs on Factors of 273
What are the Factors of 273?
The factors of 273 are 1, 3, 7, 13, 21, 39, 91, 273 and its negative factors are 1, 3, 7, 13, 21, 39, 91, 273.
What is the Sum of all the Factors of 273?
Sum of all factors of 273 = (3^{1 + 1}  1)/(3  1) × (7^{1 + 1}  1)/(7  1) × (13^{1 + 1}  1)/(13  1) = 448
What are the Prime Factors of 273?
The prime factors of 273 are 3, 7, 13.
What is the Greatest Common Factor of 273 and 77?
The factors of 273 and 77 are 1, 3, 7, 13, 21, 39, 91, 273 and 1, 7, 11, 77 respectively.
Common factors of 273 and 77 are [1, 7].
Hence, the Greatest Common Factor of 273 and 77 is 7.
What are the Common Factors of 273 and 127?
Since, the factors of 273 are 1, 3, 7, 13, 21, 39, 91, 273 and factors of 127 are 1, 127. Hence, 273 and 127 have only one common factor which is 1. Therefore, 273 and 127 are coprime.
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