# Factors of 117 in pair

Factors of 117 in pair are (1, 117) , (3, 39) and (9, 13)

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

 1.   Steps to find factors of 117 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 117 in pair

Factor Pair Pair Factorization
1 and 117 1 x 117 = 117
3 and 39 3 x 39 = 117
9 and 13 9 x 13 = 117

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 117. They are called negative pair factors.

Hence, the negative pairs of 117 would be ( -1 , -117 ) .

#### How do you define factor pairs of a number?

A factor pair of a number can be defined as the combination of two factors in such a way that when multiplied together produce the number itself. Every natural number is a product of atleast one factor pair. Eg- Factors of 117 are 1 , 3 , 9 , 13 , 39 , 117. So, factors of 117 in pair are (1,117), (3,39), (9,13).

#### How do you explain factors?

In mathematics, a factor is a number or also it can be an algebraic expression that divides another number or any expression completely and that too without leaving any remainder. A factor of a number can be positive or negative.

#### Properties of Factors

• Every factor of a number is an exact divisor of that number, example 1, 3, 9, 13, 39, 117 are exact divisors of 117.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 117 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 117.

#### Steps to find Factors of 117

• Step 1. Find all the numbers that would divide 117 without leaving any remainder. Starting with the number 1 upto 58 (half of 117). The number 1 and the number itself are always factors of the given number.
117 ÷ 1 : Remainder = 0
117 ÷ 3 : Remainder = 0
117 ÷ 9 : Remainder = 0
117 ÷ 13 : Remainder = 0
117 ÷ 39 : Remainder = 0
117 ÷ 117 : Remainder = 0

Hence, Factors of 117 are 1, 3, 9, 13, 39, and 117

• Is 117 a composite number?

Yes 117 is a composite number.

• Is 117 a perfect square?

No 117 is not a perfect square.

• Write all odd factors of 117?

The factors of 117 are 1, 3, 9, 13, 39, 117.
Odd factors of 117 are 1 , 3 , 9 , 13 , 39 , 117.

• What is the mean of all prime factors of 117?

Factors of 117 are 1 , 3 , 9 , 13 , 39 , 117. Prime factors of 117 are 3 , 3 , 13. Therefore mean of prime factors of 117 is (3 + 3 + 13) / 3 = 6.33.

• 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.

#### Examples of Factors

Can you help Rubel in arranging 117 blocks in order to form a rectangle in all possible ways? For arranging 117 blocks in order to form a rectangle in all possible ways we need to find factors of 117 in pair.

Factors of 117 are 1, 3, 9, 13, 39, 117. So, factors of 117 in pair are (1,117), (3,39), (9,13).

Ariel has been asked to write all factor pairs of 117 but she is finding it difficult. Can you help her find out?

Factors of 117 are 1, 3, 9, 13, 39, 117. So, factors of 117 in pair are (1,117), (3,39), (9,13).

What are the pair factors of 117?

Factors of 117 are 1, 3, 9, 13, 39, 117. Hence, the factors of 117 in pair are (1,117), (3,39), (9,13).

Can you help Sammy list the factors of 117 and also find the factor pairs?

Factors of 117 are 1, 3, 9, 13, 39, 117.
Factors of 117 in pair are (1,117), (3,39), (9,13).

Help Diji in finding factors of 117 by Prime Factorization method and then sorting factors of 117 in pairs.

Prime factorization of 117 is 3 x 3 x 13. Factors of 117 in pair can be written as (1,117), (3,39), (9,13).

Write the smallest prime factor of 117.

Smallest prime factor of 117 is 3.

Write the largest prime factor of 117.

Largest prime factor of 117 is 13.

Diji wants to write all the negative factors of 117. Can you help Diji in doing the same?

Negative factors of 117 are -1, -3, -9, -13, -39, -117.