# Factors of 276 in pair

Factors of 276 in pair are (1, 276) , (2, 138) , (3, 92) , (4, 69) , (6, 46) and (12, 23)

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

 1.   Steps to find factors of 276 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 276 in pair

Factor Pair Pair Factorization
1 and 276 1 x 276 = 276
2 and 138 2 x 138 = 276
3 and 92 3 x 92 = 276
4 and 69 4 x 69 = 276
6 and 46 6 x 46 = 276
12 and 23 12 x 23 = 276

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 276. They are called negative pair factors.

Hence, the negative pairs of 276 would be ( -1 , -276 ) .

#### Introduction to factor pairs

Factor pair in mathematics is defined as all factors of a given number which when written in pair and multiplied gives the original number. Every natural number is a product of atleast one factor pair. Eg- Factors of 276 are 1 , 2 , 3 , 4 , 6 , 12 , 23 , 46 , 69 , 92 , 138 , 276. So, factors of 276 in pair are (1,276), (2,138), (3,92), (4,69), (6,46), (12,23).

#### How can we define factors?

In mathematics a factor is a number which divides into another without leaving any remainder. Or we can say, any two numbers that multiply to give a product are both factors of that product. It can be both positive or negative.

#### Properties of Factors

• Each number is a factor of itself. Eg. 276 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 276.
• Every number is a factor of zero (0), since 276 x 0 = 0.
• 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, 4, 6, 12, 23, 46, 69, 92, 138, 276 are exact divisors of 276.
• Factors of 276 are 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276. Each factor divides 276 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276 are all less than or equal to 276.

#### Steps to find Factors of 276

• Step 1. Find all the numbers that would divide 276 without leaving any remainder. Starting with the number 1 upto 138 (half of 276). The number 1 and the number itself are always factors of the given number.
276 ÷ 1 : Remainder = 0
276 ÷ 2 : Remainder = 0
276 ÷ 3 : Remainder = 0
276 ÷ 4 : Remainder = 0
276 ÷ 6 : Remainder = 0
276 ÷ 12 : Remainder = 0
276 ÷ 23 : Remainder = 0
276 ÷ 46 : Remainder = 0
276 ÷ 69 : Remainder = 0
276 ÷ 92 : Remainder = 0
276 ÷ 138 : Remainder = 0
276 ÷ 276 : Remainder = 0

Hence, Factors of 276 are 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, and 276

• Is 276 a composite number?

Yes 276 is a composite number.

• Is 276 a prime number?

No 276 is not a prime number.

• What is the mean of factors of 276?

Factors of 276 are 1 , 2 , 3 , 4 , 6 , 12 , 23 , 46 , 69 , 92 , 138 , 276. therefore mean of factors of 276 is (1 + 2 + 3 + 4 + 6 + 12 + 23 + 46 + 69 + 92 + 138 + 276) / 12 = 56.00.

• 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

Rustom has been assigned the following tasks by the teacher:
- Finding out all positive factors of 276.
- Writing all prime factors of 276.
- Writing all the possible factors of 276 in pair.
Help him in writing all these.

Positive factors of 276 are 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276.
Prime factors of 276 are 2, 2, 3, 23.
Factors of 276 in pair are (1,276), (2,138), (3,92), (4,69), (6,46), (12,23).

What are the pair factors of 276?

Factors of 276 are 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276. Hence, the factors of 276 in pair are (1,276), (2,138), (3,92), (4,69), (6,46), (12,23).

Can you help Sammy list the factors of 276 and also find the factor pairs?

Factors of 276 are 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276.
Factors of 276 in pair are (1,276), (2,138), (3,92), (4,69), (6,46), (12,23).

The area of a rectangle is 276 square meters. List all the possible combinations possible for length and breadth in which a designer can design out all the combinations.

For the possible combinations possible for length and breadth in which a designer can design out all the rectangles can be calculated by calculating the factors of 276 in pair. So, the possible combinations (1,276), (2,138), (3,92), (4,69), (6,46), (12,23).

Help Diji in finding factors of 276 by Prime Factorization method and then sorting factors of 276 in pairs.

Prime factorization of 276 is 2 x 2 x 3 x 23. Factors of 276 in pair can be written as (1,276), (2,138), (3,92), (4,69), (6,46), (12,23).

Write the smallest prime factor of 276.

Smallest prime factor of 276 is 2.

Write the largest prime factor of 276.

Largest prime factor of 276 is 23.

Diji wants to write all the negative factors of 276. Can you help Diji in doing the same?

Negative factors of 276 are -1, -2, -3, -4, -6, -12, -23, -46, -69, -92, -138, -276.