Factors of 83
Factors of 83 are the list of integers that we can split evenly into 83. There are overall 2 factors of 83 i.e. 1 and 83 where 83 is the biggest factor. The Pair Factors of 83 are (1, 83) and its Prime Factors is 1, 83.
 Factors of 83: 1 and 83
 Negative Factors of 83: 1 and 83
 Prime Factors of 83: 83
 Prime Factorization of 83: 83
 Sum of Factors of 83: 84
1.  What Are the Factors of 83? 
2.  How to Calculate Factors of 83? 
3.  Factors of 83 by Prime Factorization 
4.  Factors of 83 in Pairs 
5.  FAQs on Factors of 83 
What are the Factors of 83?
The factors of 83 are all the numbers that give the value 83 when multiplied. As 83 is odd, it will not have 2 or any multiples of 2 as its factor. To understand why it is composite, let's recall the definition of a composite number. A number is said to be composite if it has more than two factors. Since 83 is a prime number, it has only two factors; they are 1 and 83.
How to Calculate the Factors of 83?
Let's learn how to calculate the factors of 83. Let's try calculating the factors of 83, starting with the smallest whole number, i.e., 1. Did it result in the remainder 0?
 83 ÷1= 83
 83 × 1= 83
Thus, the factors of 83 are 1, and 83.
Explore factors using illustrations and interactive examples.
 Factors of 36  The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18 and 36
 Factors of 84: The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 and 84
 Factors of 43  The factors of 43 are 1 and 43
 Factors of 96  The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48 and 96
 Factors of 72  The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 72
 Factors of 34  The factors of 34 are 1, 2, 17 and 34
Important Notes:
 As 83 is an odd number, all its factors will be odd.
 The prime factorization of 83 is 83 = 1 × 83.
 The number 83 has only one factor pair.
Factors of 83 by Prime Factorization
Prime factorization is the process of expressing the number as a product of prime numbers. No other number other than 1 and 83 divides 83 exactly, so, by prime factorization, factors of 83 are 1 and 83. Since only 1 and 83 are the factors of 83, 83 is a prime number. The prime factorization of 83 is shown below:
By prime factorization method, we get 83 = 1 × 83. Therefore, there are no other prime factors other than 83 itself.
Factors of 83 in Pairs
Any set of two numbers that pair up to give the product as 83 are its factor pairs.
83= 1 × 83
Therefore, the pair factors of 83 are (1, 83). A number can have negative pair factors as well. This is because the product of two negative numbers is positive. Hence, (1, 83) is also a factor pair of 83.
Challenging Questions:
 Can the factors of 83 be its multiples too?
 Can 83 have zero as its factor?
Factors of 83 Solved Examples

Example 1: List the factors of 83 and write its factor pairs.
Solution:
83 = 1 × 83
The factors of 83 are 1 and 83. Hence, the factor pair of 83 is (1, 83).

Example 2: Jennifer's teacher gave her 2 numbers, 83 and 72, and asked her to find the common factors for these numbers. Help her find the common factors.
Solution:
Jennifer knows that the factors of 83 are 1 and 83. The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72. Hence, 1 is the only common factor among 83 and 72.

Example 3: Find the Lowest Common Multiple (LCM) and Highest Common Factor (HCF) of 83 and 57.
Solution:
The factors of 83 are 1, 83, and factors of 57 are 1, 3, 19, 57.
Therefore, the Lowest Common Multiple (LCM) of 83 and 57 is 4731 and the Highest Common Factor (HCF) of 83 and 57 is 1.
FAQs on Factors of 83
What are the Factors of 83?
The factors of 83 are 1, 83 and its negative factors are 1, 83.
How Many Factors of 83 are also Factors of 13?
Since the factors of 83 are 1, 83, and factors of 13 are 1, 13. Hence, 83 and 13 have only one common factor which is 1. Therefore, 83 and 13 are coprime.
What are the Pair Factors of 83?
The pair factors of 83 are (1, 83).
What is the Sum of all the Factors of 83?
All the Factors of 83 are 1, 83 and therefore the sum of all these factors is 1 + 83 = 84
What is the Greatest Common Factor of 83 and 53?
The factors of 83 are 1, 83 and the factors of 53 are 1, 53. 83 and 53 have only one common factor which is 1. This implies that 83 and 53 are coprime.
Hence, the Greatest Common Factor (GCF) of 83 and 53 is 1.