# Factors of 28 in pair

Factors of 28 in pair are (1, 28) , (2, 14) and (4, 7)

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

 1.   Steps to find factors of 28 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 28 in pair

Factor Pair Pair Factorization
1 and 28 1 x 28 = 28
2 and 14 2 x 14 = 28
4 and 7 4 x 7 = 28

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 28. They are called negative pair factors.

Hence, the negative pairs of 28 would be ( -1 , -28 ) .

#### 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 28 are 1 , 2 , 4 , 7 , 14 , 28. So, factors of 28 in pair are (1,28), (2,14), (4,7).

#### 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. 28 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 28.
• Every number is a factor of zero (0), since 28 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, 4, 7, 14, 28 are exact divisors of 28.
• Factors of 28 are 1, 2, 4, 7, 14, 28. Each factor divides 28 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 7, 14, 28 are all less than or equal to 28.

#### Steps to find Factors of 28

• Step 1. Find all the numbers that would divide 28 without leaving any remainder. Starting with the number 1 upto 14 (half of 28). The number 1 and the number itself are always factors of the given number.
28 ÷ 1 : Remainder = 0
28 ÷ 2 : Remainder = 0
28 ÷ 4 : Remainder = 0
28 ÷ 7 : Remainder = 0
28 ÷ 14 : Remainder = 0
28 ÷ 28 : Remainder = 0

Hence, Factors of 28 are 1, 2, 4, 7, 14, and 28

• Is 28 a composite number?

Yes 28 is a composite number.

• Is 28 a prime number?

No 28 is not a prime number.

• Write five multiples of 28.

Five multiples of 28 are 56, 84, 112, 140, 168.

• Write all odd factors of 28?

The factors of 28 are 1, 2, 4, 7, 14, 28.
Odd factors of 28 are 1 , 7.

• What is the mean of all prime factors of 28?

Factors of 28 are 1 , 2 , 4 , 7 , 14 , 28. Prime factors of 28 are 2 , 2 , 7. Therefore mean of prime factors of 28 is (2 + 2 + 7) / 3 = 3.67.

#### Examples of Factors

Rustom has been assigned the following tasks by the teacher:
- Finding out all positive factors of 28.
- Writing all prime factors of 28.
- Writing all the possible factors of 28 in pair.
Help him in writing all these.

Positive factors of 28 are 1, 2, 4, 7, 14, 28.
Prime factors of 28 are 2, 2, 7.
Factors of 28 in pair are (1,28), (2,14), (4,7).

What are the pair factors of 28?

Factors of 28 are 1, 2, 4, 7, 14, 28. Hence, the factors of 28 in pair are (1,28), (2,14), (4,7).

Can you help Sammy list the factors of 28 and also find the factor pairs?

Factors of 28 are 1, 2, 4, 7, 14, 28.
Factors of 28 in pair are (1,28), (2,14), (4,7).

The area of a rectangle is 28 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 28 in pair. So, the possible combinations (1,28), (2,14), (4,7).

Help Diji in finding factors of 28 by Prime Factorization method and then sorting factors of 28 in pairs.

Prime factorization of 28 is 2 x 2 x 7. Factors of 28 in pair can be written as (1,28), (2,14), (4,7).

Write the smallest prime factor of 28.

Smallest prime factor of 28 is 2.

Write the largest prime factor of 28.

Largest prime factor of 28 is 7.

Diji wants to write all the negative factors of 28. Can you help Diji in doing the same?

Negative factors of 28 are -1, -2, -4, -7, -14, -28.