Factors of 182 are the list of integers that can be evenly divided into 182. There are 8 factors of 182 of which 182 itself is the biggest factor and its positive factors are 1, 2, 7, 13, 14, 26, 91, 182. The Prime Factors of 182 are 2 × 7 × 13 and its Factors in Pairs are (1, 182), (2, 91), (7, 26), (13, 14).

• All Factors of 182: 1, 2, 7, 13, 14, 26, 91 and 182
• Negative Factors of 182: -1, -2, -7, -13, -14, -26, -91 and -182
• Prime Factors of 182: 2, 7, 13
• Prime Factorization of 182: 2¹ × 7¹ × 13¹
• Sum of Factors of 182: 336

1.	What Are the Factors of 182?
2.	Factors of 182 by Prime Factorization
3.	Factors of 182 in Pairs
4.	FAQs on Factors of 182

Factors of 182 are pairs of those numbers whose products result in 182. These factors are either prime numbers or composite numbers.

How to Find the Factors of 182?

To find the factors of 182, we will have to find the list of numbers that would divide 182 without leaving any remainder.

• 182/2 = 91; therefore, 2 is a factor of 182 and 91 is also a factor of 182.
• 182/26 = 7; therefore, 26 is a factor of 182 and 7 is also a factor of 182.

Similarly we can find other factors. Hence, the factors of 182 are 1, 2, 7, 13, 14, 26, 91, 182.

☛ Also Check:

• Factors of 65 - The factors of 65 are 1, 5, 13, 65
• Factors of 72 - The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
• Factors of 52 - The factors of 52 are 1, 2, 4, 13, 26, 52
• Factors of 78 - The factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78
• Factors of 34 - The factors of 34 are 1, 2, 17, 34

The number 182 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 182. The first step is to divide the number 182 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 182 ÷ 2 = 91

Further dividing 91 by 2 gives a non-zero 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 182 can be written as 2¹ × 7¹ × 13¹ where 2, 7, 13 are prime.

Pair factors of 182 are the pairs of numbers that when multiplied give the product 182. The factors of 182 in pairs are:

• 1 × 182 = (1, 182)
• 2 × 91 = (2, 91)
• 7 × 26 = (7, 26)
• 13 × 14 = (13, 14)

Negative pair factors of 182 are:

• -1 × -182 = (-1, -182)
• -2 × -91 = (-2, -91)
• -7 × -26 = (-7, -26)
• -13 × -14 = (-13, -14)

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