# Factors of 138 in pair

Factors of 138 in pair are (1, 138) , (2, 69) , (3, 46) and (6, 23)

#### How to find factors of a number in pair

 1.   Steps to find factors of 138 in pair 2.   What is factors of a number in pair? 3.   What are Factors? 4.   Frequently Asked Questions 5.   Examples of factors in pair

### Example: Find factors of 138 in pair

Factor Pair Pair Factorization
1 and 138 1 x 138 = 138
2 and 69 2 x 69 = 138
3 and 46 3 x 46 = 138
6 and 23 6 x 23 = 138

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 138. They are called negative pair factors.

Hence, the negative pairs of 138 would be ( -1 , -138 ) .

#### What does factor pairs in mathematics mean?

In mathematics, factor pair of a number are all those possible combination which when multiplied together give the original number in return. Every natural number is a product of atleast one factor pair. Eg- Factors of 138 are 1 , 2 , 3 , 6 , 23 , 46 , 69 , 138. So, factors of 138 in pair are (1,138), (2,69), (3,46), (6,23).

#### What is the definition of factors?

In mathematics, factors are number, algebraic expressions which when multiplied together produce desired product. A factor of a number can be positive or negative.

#### Properties of Factors

• Each number is a factor of itself. Eg. 138 is a factor of itself.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Every factor of a number is an exact divisor of that number, example 1, 2, 3, 6, 23, 46, 69, 138 are exact divisors of 138.
• 1 is a factor of every number. Eg. 1 is a factor of 138.
• Every number is a factor of zero (0), since 138 x 0 = 0.

#### Steps to find Factors of 138

• Step 1. Find all the numbers that would divide 138 without leaving any remainder. Starting with the number 1 upto 69 (half of 138). The number 1 and the number itself are always factors of the given number.
138 ÷ 1 : Remainder = 0
138 ÷ 2 : Remainder = 0
138 ÷ 3 : Remainder = 0
138 ÷ 6 : Remainder = 0
138 ÷ 23 : Remainder = 0
138 ÷ 46 : Remainder = 0
138 ÷ 69 : Remainder = 0
138 ÷ 138 : Remainder = 0

Hence, Factors of 138 are 1, 2, 3, 6, 23, 46, 69, and 138

• Is 138 a composite number?

Yes 138 is a composite number.

• Is 138 a prime number?

No 138 is not a prime number.

• What is the mean of factors of 138?

Factors of 138 are 1 , 2 , 3 , 6 , 23 , 46 , 69 , 138. therefore mean of factors of 138 is (1 + 2 + 3 + 6 + 23 + 46 + 69 + 138) / 8 = 36.00.

• What do you mean by proper divisors?

A number x is said to be the proper divisor of y if it divides y completely, given that x is smaller than y.

• What do you mean by improper divisors?

An improper divisor of a number is the number itself apart from this any divisor of a given number is a proper divisor.

#### Examples of Factors

Ariel has been asked to write all factor pairs of 138 but she is finding it difficult. Can you help her find out?

Factors of 138 are 1, 2, 3, 6, 23, 46, 69, 138. So, factors of 138 in pair are (1,138), (2,69), (3,46), (6,23).

Sammy wants to write all the negative factors of 138 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 138 are -1, -2, -3, -6, -23, -46, -69, -138. Hence, factors of 138 in pair are (-1,-138), (-2,-69), (-3,-46), (-6,-23).

Help Deep in writing the positive factors of 138 in pair and negative factor of 138 in pair.

Factors of 138 are 1, 2, 3, 6, 23, 46, 69, 138. Positive factors of 138 in pair are (1,138), (2,69), (3,46), (6,23). Negative factors of 138 in pair are (-1,-138), (-2,-69), (-3,-46), (-6,-23).

Find the product of all prime factors of 138.

Factors of 138 are 1, 2, 3, 6, 23, 46, 69, 138. Prime factors are 2, 3, 23. So, the product of all prime factors of 138 would be 2 x 3 x 23 = 138.

Can you help Sammy list the factors of 138 and also find the factor pairs?

Factors of 138 are 1, 2, 3, 6, 23, 46, 69, 138.
Factors of 138 in pair are (1,138), (2,69), (3,46), (6,23).

Help Diji in finding factors of 138 by Prime Factorization method and then sorting factors of 138 in pairs.

Prime factorization of 138 is 2 x 3 x 23. Factors of 138 in pair can be written as (1,138), (2,69), (3,46), (6,23).

Write the smallest prime factor of 138.

Smallest prime factor of 138 is 2.

Write the largest prime factor of 138.

Largest prime factor of 138 is 23.