# Factors of 114 in pair

Factors of 114 in pair are (1, 114) , (2, 57) , (3, 38) and (6, 19)

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

 1.   Steps to find factors of 114 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 114 in pair

Factor Pair Pair Factorization
1 and 114 1 x 114 = 114
2 and 57 2 x 57 = 114
3 and 38 3 x 38 = 114
6 and 19 6 x 19 = 114

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 114. They are called negative pair factors.

Hence, the negative pairs of 114 would be ( -1 , -114 ) .

#### What does factor pairs of a number mean?

Factor pairs are those factors in pair that can give original number when multiplied. Every natural number is a product of atleast one factor pair. Eg- Factors of 114 are 1 , 2 , 3 , 6 , 19 , 38 , 57 , 114. So, factors of 114 in pair are (1,114), (2,57), (3,38), (6,19).

#### How can we define factors?

In mathematics, a factor is a number which divides into another number exactly, without leaving any remainder. A factor of a number can be positive of negative.

#### Properties of Factors

• Each number is a factor of itself. Eg. 114 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, 19, 38, 57, 114 are exact divisors of 114.
• 1 is a factor of every number. Eg. 1 is a factor of 114.
• Every number is a factor of zero (0), since 114 x 0 = 0.

#### Steps to find Factors of 114

• Step 1. Find all the numbers that would divide 114 without leaving any remainder. Starting with the number 1 upto 57 (half of 114). The number 1 and the number itself are always factors of the given number.
114 ÷ 1 : Remainder = 0
114 ÷ 2 : Remainder = 0
114 ÷ 3 : Remainder = 0
114 ÷ 6 : Remainder = 0
114 ÷ 19 : Remainder = 0
114 ÷ 38 : Remainder = 0
114 ÷ 57 : Remainder = 0
114 ÷ 114 : Remainder = 0

Hence, Factors of 114 are 1, 2, 3, 6, 19, 38, 57, and 114

• Is 114 a composite number?

Yes 114 is a composite number.

• Is 114 a prime number?

No 114 is not a prime number.

• What is the mean of factors of 114?

Factors of 114 are 1 , 2 , 3 , 6 , 19 , 38 , 57 , 114. therefore mean of factors of 114 is (1 + 2 + 3 + 6 + 19 + 38 + 57 + 114) / 8 = 30.00.

• 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 114 but she is finding it difficult. Can you help her find out?

Factors of 114 are 1, 2, 3, 6, 19, 38, 57, 114. So, factors of 114 in pair are (1,114), (2,57), (3,38), (6,19).

Sammy wants to write all the negative factors of 114 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 114 are -1, -2, -3, -6, -19, -38, -57, -114. Hence, factors of 114 in pair are (-1,-114), (-2,-57), (-3,-38), (-6,-19).

Help Deep in writing the positive factors of 114 in pair and negative factor of 114 in pair.

Factors of 114 are 1, 2, 3, 6, 19, 38, 57, 114. Positive factors of 114 in pair are (1,114), (2,57), (3,38), (6,19). Negative factors of 114 in pair are (-1,-114), (-2,-57), (-3,-38), (-6,-19).

Find the product of all prime factors of 114.

Factors of 114 are 1, 2, 3, 6, 19, 38, 57, 114. Prime factors are 2, 3, 19. So, the product of all prime factors of 114 would be 2 x 3 x 19 = 114.

Can you help Sammy list the factors of 114 and also find the factor pairs?

Factors of 114 are 1, 2, 3, 6, 19, 38, 57, 114.
Factors of 114 in pair are (1,114), (2,57), (3,38), (6,19).

Help Diji in finding factors of 114 by Prime Factorization method and then sorting factors of 114 in pairs.

Prime factorization of 114 is 2 x 3 x 19. Factors of 114 in pair can be written as (1,114), (2,57), (3,38), (6,19).

Write the smallest prime factor of 114.

Smallest prime factor of 114 is 2.

Write the largest prime factor of 114.

Largest prime factor of 114 is 19.