Factors of 172 are the list of integers that we can split evenly into 172. There are 6 factors of 172, which are 1, 2, 4, 43, 86, 172. Here, 172 is the biggest factor. The sum of all factors of 172 is 308 and its factors in Pairs are (1, 172), (2, 86), (4, 43).

• All Factors of 172: 1, 2, 4, 43, 86 and 172
• Negative Factors of 172: -1, -2, -4, -43, -86 and -172
• Prime Factors of 172: 2, 43
• Prime Factorization of 172: 2² × 43¹
• Sum of Factors of 172: 308

1.	What Are the Factors of 172?
2.	Factors of 172 by Prime Factorization
3.	Factors of 172 in Pairs
4.	FAQs on Factors of 172

Factors of 172 are pairs of those numbers whose products result in 172. These factors are either prime numbers or composite numbers.

How to Find the Factors of 172?

To find the factors of 172, we will have to find the list of numbers that would divide 172 without leaving any remainder.

• 172/4 = 43; therefore, 4 is a factor of 172 and 43 is also a factor of 172.
• 172/2 = 86; therefore, 2 is a factor of 172 and 86 is also a factor of 172.

Similarly we can find other factors. Hence, the factors of 172 are 1, 2, 4, 43, 86, 172.

☛ Also Check:

• Factors of 8 - The factors of 8 are 1, 2, 4, 8
• Factors of 45 - The factors of 45 are 1, 3, 5, 9, 15, 45
• Factors of 39 - The factors of 39 are 1, 3, 13, 39
• Factors of 19 - The factors of 19 are 1, 19
• Factors of 14 - The factors of 14 are 1, 2, 7, 14

The number 172 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 172. The first step is to divide the number 172 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 172 ÷ 2 = 86
• 86 ÷ 2 = 43

Further dividing 43 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 43 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 172 can be written as 2² × 43¹ where 2, 43 are prime.

Pair factors of 172 are the pairs of numbers that when multiplied give the product 172. The factors of 172 in pairs are:

• 1 × 172 = (1, 172)
• 2 × 86 = (2, 86)
• 4 × 43 = (4, 43)

Negative pair factors of 172 are:

• -1 × -172 = (-1, -172)
• -2 × -86 = (-2, -86)
• -4 × -43 = (-4, -43)

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