# Factors of 196 in pair

Factors of 196 in pair are (1, 196) , (2, 98) , (4, 49) , (7, 28) and (14, 14)

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

 1.   Steps to find factors of 196 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 196 in pair

Factor Pair Pair Factorization
1 and 196 1 x 196 = 196
2 and 98 2 x 98 = 196
4 and 49 4 x 49 = 196
7 and 28 7 x 28 = 196
14 and 14 14 x 14 = 196

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 196. They are called negative pair factors.

Hence, the negative pairs of 196 would be ( -1 , -196 ) .

#### 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 196 are 1 , 2 , 4 , 7 , 14 , 28 , 49 , 98 , 196. So, factors of 196 in pair are (1,196), (2,98), (4,49), (7,28), (14,14).

#### 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. 196 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 196.
• Every number is a factor of zero (0), since 196 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, 49, 98, 196 are exact divisors of 196.
• Factors of 196 are 1, 2, 4, 7, 14, 28, 49, 98, 196. Each factor divides 196 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 7, 14, 28, 49, 98, 196 are all less than or equal to 196.

#### Steps to find Factors of 196

• Step 1. Find all the numbers that would divide 196 without leaving any remainder. Starting with the number 1 upto 98 (half of 196). The number 1 and the number itself are always factors of the given number.
196 ÷ 1 : Remainder = 0
196 ÷ 2 : Remainder = 0
196 ÷ 4 : Remainder = 0
196 ÷ 7 : Remainder = 0
196 ÷ 14 : Remainder = 0
196 ÷ 28 : Remainder = 0
196 ÷ 49 : Remainder = 0
196 ÷ 98 : Remainder = 0
196 ÷ 196 : Remainder = 0

Hence, Factors of 196 are 1, 2, 4, 7, 14, 28, 49, 98, and 196

• Is 196 a composite number?

Yes 196 is a composite number.

• Is 196 a prime number?

No 196 is not a prime number.

• Write five multiples of 196.

Five multiples of 196 are 392, 588, 784, 980, 1176.

• Write all odd factors of 196?

The factors of 196 are 1, 2, 4, 7, 14, 28, 49, 98, 196.
Odd factors of 196 are 1 , 7 , 49.

• What is the mean of all prime factors of 196?

Factors of 196 are 1 , 2 , 4 , 7 , 14 , 28 , 49 , 98 , 196. Prime factors of 196 are 2 , 2 , 7 , 7. Therefore mean of prime factors of 196 is (2 + 2 + 7 + 7) / 4 = 4.50.

#### Examples of Factors

Rustom has been assigned the following tasks by the teacher:
- Finding out all positive factors of 196.
- Writing all prime factors of 196.
- Writing all the possible factors of 196 in pair.
Help him in writing all these.

Positive factors of 196 are 1, 2, 4, 7, 14, 28, 49, 98, 196.
Prime factors of 196 are 2, 2, 7, 7.
Factors of 196 in pair are (1,196), (2,98), (4,49), (7,28), (14,14).

What are the pair factors of 196?

Factors of 196 are 1, 2, 4, 7, 14, 28, 49, 98, 196. Hence, the factors of 196 in pair are (1,196), (2,98), (4,49), (7,28), (14,14).

Can you help Sammy list the factors of 196 and also find the factor pairs?

Factors of 196 are 1, 2, 4, 7, 14, 28, 49, 98, 196.
Factors of 196 in pair are (1,196), (2,98), (4,49), (7,28), (14,14).

The area of a rectangle is 196 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 196 in pair. So, the possible combinations (1,196), (2,98), (4,49), (7,28), (14,14).

Help Diji in finding factors of 196 by Prime Factorization method and then sorting factors of 196 in pairs.

Prime factorization of 196 is 2 x 2 x 7 x 7. Factors of 196 in pair can be written as (1,196), (2,98), (4,49), (7,28), (14,14).

Write the smallest prime factor of 196.

Smallest prime factor of 196 is 2.

Write the largest prime factor of 196.

Largest prime factor of 196 is 7.

Diji wants to write all the negative factors of 196. Can you help Diji in doing the same?

Negative factors of 196 are -1, -2, -4, -7, -14, -28, -49, -98, -196.