# Factors of 100 in pair

Factors of 100 in pair are (1, 100) , (2, 50) , (4, 25) , (5, 20) and (10, 10)

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

 1.   Steps to find factors of 100 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 100 in pair

Factor Pair Pair Factorization
1 and 100 1 x 100 = 100
2 and 50 2 x 50 = 100
4 and 25 4 x 25 = 100
5 and 20 5 x 20 = 100
10 and 10 10 x 10 = 100

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 100. They are called negative pair factors.

Hence, the negative pairs of 100 would be ( -1 , -100 ) .

#### 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 100 are 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100. So, factors of 100 in pair are (1,100), (2,50), (4,25), (5,20), (10,10).

#### 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. 100 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 100.
• Every number is a factor of zero (0), since 100 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, 25, 50, 100 are exact divisors of 100.
• Factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100. Each factor divides 100 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 5, 10, 20, 25, 50, 100 are all less than or equal to 100.

#### Steps to find Factors of 100

• Step 1. Find all the numbers that would divide 100 without leaving any remainder. Starting with the number 1 upto 50 (half of 100). The number 1 and the number itself are always factors of the given number.
100 ÷ 1 : Remainder = 0
100 ÷ 2 : Remainder = 0
100 ÷ 4 : Remainder = 0
100 ÷ 5 : Remainder = 0
100 ÷ 10 : Remainder = 0
100 ÷ 20 : Remainder = 0
100 ÷ 25 : Remainder = 0
100 ÷ 50 : Remainder = 0
100 ÷ 100 : Remainder = 0

Hence, Factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100

• Is 100 a composite number?

Yes 100 is a composite number.

• Is 100 a prime number?

No 100 is not a prime number.

• Write five multiples of 100.

Five multiples of 100 are 200, 300, 400, 500, 600.

• Write all odd factors of 100?

The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100.
Odd factors of 100 are 1 , 5 , 25.

• What is the mean of all prime factors of 100?

Factors of 100 are 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100. Prime factors of 100 are 2 , 2 , 5 , 5. Therefore mean of prime factors of 100 is (2 + 2 + 5 + 5) / 4 = 3.50.

#### Examples of Factors

Rustom has been assigned the following tasks by the teacher:
- Finding out all positive factors of 100.
- Writing all prime factors of 100.
- Writing all the possible factors of 100 in pair.
Help him in writing all these.

Positive factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100.
Prime factors of 100 are 2, 2, 5, 5.
Factors of 100 in pair are (1,100), (2,50), (4,25), (5,20), (10,10).

What are the pair factors of 100?

Factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100. Hence, the factors of 100 in pair are (1,100), (2,50), (4,25), (5,20), (10,10).

Can you help Sammy list the factors of 100 and also find the factor pairs?

Factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100.
Factors of 100 in pair are (1,100), (2,50), (4,25), (5,20), (10,10).

The area of a rectangle is 100 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 100 in pair. So, the possible combinations (1,100), (2,50), (4,25), (5,20), (10,10).

Help Diji in finding factors of 100 by Prime Factorization method and then sorting factors of 100 in pairs.

Prime factorization of 100 is 2 x 2 x 5 x 5. Factors of 100 in pair can be written as (1,100), (2,50), (4,25), (5,20), (10,10).

Write the smallest prime factor of 100.

Smallest prime factor of 100 is 2.

Write the largest prime factor of 100.

Largest prime factor of 100 is 5.

Diji wants to write all the negative factors of 100. Can you help Diji in doing the same?

Negative factors of 100 are -1, -2, -4, -5, -10, -20, -25, -50, -100.