# Factors of 212 in pair

Factors of 212 in pair are (1, 212) , (2, 106) and (4, 53)

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

 1.   Steps to find factors of 212 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 212 in pair

Factor Pair Pair Factorization
1 and 212 1 x 212 = 212
2 and 106 2 x 106 = 212
4 and 53 4 x 53 = 212

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 212. They are called negative pair factors.

Hence, the negative pairs of 212 would be ( -1 , -212 ) .

#### How do you define factor pairs of a number?

A factor pair of a number can be defined as the combination of two factors in such a way that when multiplied together produce the number itself. Every natural number is a product of atleast one factor pair. Eg- Factors of 212 are 1 , 2 , 4 , 53 , 106 , 212. So, factors of 212 in pair are (1,212), (2,106), (4,53).

#### How do you explain factors?

In mathematics, a factor is a number or also it can be an algebraic expression that divides another number or any expression completely and that too without leaving any remainder. A factor of a number can be positive or negative.

#### Properties of Factors

• Each number is a factor of itself. Eg. 212 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 212.
• Every number is a factor of zero (0), since 212 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, 53, 106, 212 are exact divisors of 212.
• Factors of 212 are 1, 2, 4, 53, 106, 212. Each factor divides 212 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 53, 106, 212 are all less than or equal to 212.

#### Steps to find Factors of 212

• Step 1. Find all the numbers that would divide 212 without leaving any remainder. Starting with the number 1 upto 106 (half of 212). The number 1 and the number itself are always factors of the given number.
212 ÷ 1 : Remainder = 0
212 ÷ 2 : Remainder = 0
212 ÷ 4 : Remainder = 0
212 ÷ 53 : Remainder = 0
212 ÷ 106 : Remainder = 0
212 ÷ 212 : Remainder = 0

Hence, Factors of 212 are 1, 2, 4, 53, 106, and 212

• Is 212 a composite number?

Yes 212 is a composite number.

• Is 212 a prime number?

No 212 is not a prime number.

• Is 212 a perfect square?

No 212 is not a perfect square.

• Write five multiples of 212.

Five multiples of 212 are 424, 636, 848, 1060, 1272.

• Write all odd factors of 212?

The factors of 212 are 1, 2, 4, 53, 106, 212.
Odd factors of 212 are 1 , 53.

#### Examples of Factors

Rustom has been assigned the following tasks by the teacher:
- Finding out all positive factors of 212.
- Writing all prime factors of 212.
- Writing all the possible factors of 212 in pair.
Help him in writing all these.

Positive factors of 212 are 1, 2, 4, 53, 106, 212.
Prime factors of 212 are 2, 2, 53.
Factors of 212 in pair are (1,212), (2,106), (4,53).

What are the pair factors of 212?

Factors of 212 are 1, 2, 4, 53, 106, 212. Hence, the factors of 212 in pair are (1,212), (2,106), (4,53).

Can you help Sammy list the factors of 212 and also find the factor pairs?

Factors of 212 are 1, 2, 4, 53, 106, 212.
Factors of 212 in pair are (1,212), (2,106), (4,53).

The area of a rectangle is 212 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 212 in pair. So, the possible combinations (1,212), (2,106), (4,53).

Help Diji in finding factors of 212 by Prime Factorization method and then sorting factors of 212 in pairs.

Prime factorization of 212 is 2 x 2 x 53. Factors of 212 in pair can be written as (1,212), (2,106), (4,53).

Write the smallest prime factor of 212.

Smallest prime factor of 212 is 2.

Write the largest prime factor of 212.

Largest prime factor of 212 is 53.

Diji wants to write all the negative factors of 212. Can you help Diji in doing the same?

Negative factors of 212 are -1, -2, -4, -53, -106, -212.