Factors of 171 are the list of integers that can be evenly divided into 171. It has a total of 6 factors of which 171 is the biggest factor and the positive factors of 171 are 1, 3, 9, 19, 57, 171. The sum of all factors of 171 is 260. Its Prime Factors are 3 × 19 and (1, 171), (3, 57), (9, 19) are Pair Factors.

• All Factors of 171: 1, 3, 9, 19, 57 and 171
• Negative Factors of 171: -1, -3, -9, -19, -57 and -171
• Prime Factors of 171: 3, 19
• Prime Factorization of 171: 3² × 19¹
• Sum of Factors of 171: 260

1.	What Are the Factors of 171?
2.	Factors of 171 by Prime Factorization
3.	Factors of 171 in Pairs
4.	FAQs on Factors of 171

Factors of 171 are pairs of those numbers whose products result in 171. These factors are either prime numbers or composite numbers.

How to Find the Factors of 171?

To find the factors of 171, we will have to find the list of numbers that would divide 171 without leaving any remainder.

• 171/3 = 57; therefore, 3 is a factor of 171 and 57 is also a factor of 171.
• 171/9 = 19; therefore, 9 is a factor of 171 and 19 is also a factor of 171.

Similarly we can find other factors. Hence, the factors of 171 are 1, 3, 9, 19, 57, 171.

☛ Also Check:

• Factors of 27 - The factors of 27 are 1, 3, 9, 27
• Factors of 96 - The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
• Factors of 29 - The factors of 29 are 1, 29
• Factors of 16 - The factors of 16 are 1, 2, 4, 8, 16
• Factors of 75 - The factors of 75 are 1, 3, 5, 15, 25, 75

The number 171 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 171. The first step is to divide the number 171 with the smallest prime factor, here it is 3. We keep dividing until it gives a non-zero remainder.

• 171 ÷ 3 = 57
• 57 ÷ 3 = 19

Further dividing 19 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 19 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 171 can be written as 3² × 19¹ where 3, 19 are prime.

Pair factors of 171 are the pairs of numbers that when multiplied give the product 171. The factors of 171 in pairs are:

• 1 × 171 = (1, 171)
• 3 × 57 = (3, 57)
• 9 × 19 = (9, 19)

Negative pair factors of 171 are:

• -1 × -171 = (-1, -171)
• -3 × -57 = (-3, -57)
• -9 × -19 = (-9, -19)

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