Factors of 106 are the list of integers that we can split evenly into 106. There are overall 4 factors of 106 i.e. 1, 2, 53, 106 where 106 is the biggest factor. The Pair Factors of 106 are (1, 106), (2, 53) and its Prime Factors are 2 × 53.

• All Factors of 106: 1, 2, 53 and 106
• Negative Factors of 106: -1, -2, -53 and -106
• Prime Factors of 106: 2, 53
• Prime Factorization of 106: 2¹ × 53¹
• Sum of Factors of 106: 162

1.	What Are the Factors of 106?
2.	Factors of 106 by Prime Factorization
3.	Factors of 106 in Pairs
4.	FAQs on Factors of 106

Factors of 106 are pairs of those numbers whose products result in 106. These factors are either prime numbers or composite numbers.

How to Find the Factors of 106?

To find the factors of 106, we will have to find the list of numbers that would divide 106 without leaving any remainder.

• 106/53 = 2; therefore, 53 is a factor of 106 and 2 is also a factor of 106.
• 106/106 = 1; therefore, 106 is a factor of 106 and 1 is also a factor of 106.

Similarly we can find other factors. Hence, the factors of 106 are 1, 2, 53, 106.

☛ Also Check:

• Factors of 48 - The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
• Factors of 33 - The factors of 33 are 1, 3, 11, 33
• Factors of 108 - The factors of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
• Factors of 30 - The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30
• Factors of 128 - The factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128

The number 106 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 106. The first step is to divide the number 106 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 106 ÷ 2 = 53

Further dividing 53 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 53 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 106 can be written as 2¹ × 53¹ where 2, 53 are prime.

Pair factors of 106 are the pairs of numbers that when multiplied give the product 106. The factors of 106 in pairs are:

• 1 × 106 = (1, 106)
• 2 × 53 = (2, 53)

Negative pair factors of 106 are:

• -1 × -106 = (-1, -106)
• -2 × -53 = (-2, -53)

NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.