# Factors of 20 in pair

Factors of 20 in pair are (1, 20) , (2, 10) and (4, 5)

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

 1.   Steps to find factors of 20 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 20 in pair

Factor Pair Pair Factorization
1 and 20 1 x 20 = 20
2 and 10 2 x 10 = 20
4 and 5 4 x 5 = 20

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 20. They are called negative pair factors.

Hence, the negative pairs of 20 would be ( -1 , -20 ) .

#### Definition of factor pairs?

In mathematics, factor pair are often given as pair of numbers which when multiplied together give the original number. Every natural number is a product of atleast one factor pair. Eg- Factors of 20 are 1 , 2 , 4 , 5 , 10 , 20. So, factors of 20 in pair are (1,20), (2,10), (4,5).

#### What are factors?

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

#### Properties of Factors

• Each number is a factor of itself. Eg. 20 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 20.
• Every number is a factor of zero (0), since 20 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, 5, 10, 20 are exact divisors of 20.
• Factors of 20 are 1, 2, 4, 5, 10, 20. Each factor divides 20 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 5, 10, 20 are all less than or equal to 20.

#### Steps to find Factors of 20

• Step 1. Find all the numbers that would divide 20 without leaving any remainder. Starting with the number 1 upto 10 (half of 20). The number 1 and the number itself are always factors of the given number.
20 ÷ 1 : Remainder = 0
20 ÷ 2 : Remainder = 0
20 ÷ 4 : Remainder = 0
20 ÷ 5 : Remainder = 0
20 ÷ 10 : Remainder = 0
20 ÷ 20 : Remainder = 0

Hence, Factors of 20 are 1, 2, 4, 5, 10, and 20

• Is 20 a composite number?

Yes 20 is a composite number.

• Is 20 a prime number?

No 20 is not a prime number.

• Is 20 a perfect square?

No 20 is not a perfect square.

• Write five multiples of 20.

Five multiples of 20 are 40, 60, 80, 100, 120.

• Write all odd factors of 20?

The factors of 20 are 1, 2, 4, 5, 10, 20.
Odd factors of 20 are 1 , 5.

#### Examples of Factors

Rustom has been assigned the following tasks by the teacher:
- Finding out all positive factors of 20.
- Writing all prime factors of 20.
- Writing all the possible factors of 20 in pair.
Help him in writing all these.

Positive factors of 20 are 1, 2, 4, 5, 10, 20.
Prime factors of 20 are 2, 2, 5.
Factors of 20 in pair are (1,20), (2,10), (4,5).

What are the pair factors of 20?

Factors of 20 are 1, 2, 4, 5, 10, 20. Hence, the factors of 20 in pair are (1,20), (2,10), (4,5).

Can you help Sammy list the factors of 20 and also find the factor pairs?

Factors of 20 are 1, 2, 4, 5, 10, 20.
Factors of 20 in pair are (1,20), (2,10), (4,5).

The area of a rectangle is 20 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 20 in pair. So, the possible combinations (1,20), (2,10), (4,5).

Help Diji in finding factors of 20 by Prime Factorization method and then sorting factors of 20 in pairs.

Prime factorization of 20 is 2 x 2 x 5. Factors of 20 in pair can be written as (1,20), (2,10), (4,5).

Write the smallest prime factor of 20.

Smallest prime factor of 20 is 2.

Write the largest prime factor of 20.

Largest prime factor of 20 is 5.

Diji wants to write all the negative factors of 20. Can you help Diji in doing the same?

Negative factors of 20 are -1, -2, -4, -5, -10, -20.