Factors of 174 are the list of integers that can be evenly divided into 174. There are 8 factors of 174 of which 174 itself is the biggest factor and its positive factors are 1, 2, 3, 6, 29, 58, 87, 174. The Prime Factors and Pair Factors of 174 are 2 × 3 × 29 and (1, 174), (2, 87), (3, 58), (6, 29) respectively.

• All Factors of 174: 1, 2, 3, 6, 29, 58, 87 and 174
• Negative Factors of 174: -1, -2, -3, -6, -29, -58, -87 and -174
• Prime Factors of 174: 2, 3, 29
• Prime Factorization of 174: 2¹ × 3¹ × 29¹
• Sum of Factors of 174: 360

1.	What Are the Factors of 174?
2.	Factors of 174 by Prime Factorization
3.	Factors of 174 in Pairs
4.	FAQs on Factors of 174

Factors of 174 are pairs of those numbers whose products result in 174. These factors are either prime numbers or composite numbers.

How to Find the Factors of 174?

To find the factors of 174, we will have to find the list of numbers that would divide 174 without leaving any remainder.

• 174/29 = 6; therefore, 29 is a factor of 174 and 6 is also a factor of 174.
• 174/3 = 58; therefore, 3 is a factor of 174 and 58 is also a factor of 174.

Similarly we can find other factors. Hence, the factors of 174 are 1, 2, 3, 6, 29, 58, 87, 174.

☛ Also Check:

• Factors of 41 - The factors of 41 are 1, 41
• Factors of 12 - The factors of 12 are 1, 2, 3, 4, 6, 12
• Factors of 57 - The factors of 57 are 1, 3, 19, 57
• Factors of 28 - The factors of 28 are 1, 2, 4, 7, 14, 28
• Factors of 20 - The factors of 20 are 1, 2, 4, 5, 10, 20

The number 174 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 174. The first step is to divide the number 174 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 174 ÷ 2 = 87

Further dividing 87 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 87 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 174 can be written as 2¹ × 3¹ × 29¹ where 2, 3, 29 are prime.

Pair factors of 174 are the pairs of numbers that when multiplied give the product 174. The factors of 174 in pairs are:

• 1 × 174 = (1, 174)
• 2 × 87 = (2, 87)
• 3 × 58 = (3, 58)
• 6 × 29 = (6, 29)

Negative pair factors of 174 are:

• -1 × -174 = (-1, -174)
• -2 × -87 = (-2, -87)
• -3 × -58 = (-3, -58)
• -6 × -29 = (-6, -29)

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