Factors of 138 are integers that can be divided evenly into 138. There are 8 factors of 138, which are 1, 2, 3, 6, 23, 46, 69, 138. Here, 138 is the biggest factor. The Prime Factors of 138 are 2 × 3 × 23 and its Factors in Pairs are (1, 138), (2, 69), (3, 46), (6, 23).

• All Factors of 138: 1, 2, 3, 6, 23, 46, 69 and 138
• Negative Factors of 138: -1, -2, -3, -6, -23, -46, -69 and -138
• Prime Factors of 138: 2, 3, 23
• Prime Factorization of 138: 2¹ × 3¹ × 23¹
• Sum of Factors of 138: 288

1.	What Are the Factors of 138?
2.	Factors of 138 by Prime Factorization
3.	Factors of 138 in Pairs
4.	FAQs on Factors of 138

Factors of 138 are pairs of those numbers whose products result in 138. These factors are either prime numbers or composite numbers.

How to Find the Factors of 138?

To find the factors of 138, we will have to find the list of numbers that would divide 138 without leaving any remainder.

• 138/138 = 1; therefore, 138 is a factor of 138.
• 138/23 = 6; therefore, 23 is a factor of 138.

Similarly we can find other factors. Hence, the factors of 138 are 1, 2, 3, 6, 23, 46, 69, 138.

☛ Also Check:

• Factors of 49 - The factors of 49 are 1, 7, 49
• Factors of 27 - The factors of 27 are 1, 3, 9, 27
• Factors of 125 - The factors of 125 are 1, 5, 25, 125
• Factors of 13 - The factors of 13 are 1, 13
• Factors of 99 - The factors of 99 are 1, 3, 9, 11, 33, 99

The number 138 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 138. The first step is to divide the number 138 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 138 ÷ 2 = 69

Further dividing 69 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 69 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 138 can be written as 2¹ × 3¹ × 23¹ where 2, 3, 23 are prime.

Pair factors of 138 are the pairs of numbers that when multiplied give the product 138. The factors of 138 in pairs are:

• 1 × 138 = (1, 138)
• 2 × 69 = (2, 69)
• 3 × 46 = (3, 46)
• 6 × 23 = (6, 23)

Negative pair factors of 138 are:

• -1 × -138 = (-1, -138)
• -2 × -69 = (-2, -69)
• -3 × -46 = (-3, -46)
• -6 × -23 = (-6, -23)

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