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

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?