# Factors of 44 in pair

Factors of 44 in pair are (1, 44) , (2, 22) and (4, 11)

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

 1.   Steps to find factors of 44 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 44 in pair

Factor Pair Pair Factorization
1 and 44 1 x 44 = 44
2 and 22 2 x 22 = 44
4 and 11 4 x 11 = 44

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 44. They are called negative pair factors.

Hence, the negative pairs of 44 would be ( -1 , -44 ) .

#### What does factor pairs of a number mean?

Factor pairs are those factors in pair that can give original number when multiplied. Every natural number is a product of atleast one factor pair. Eg- Factors of 44 are 1 , 2 , 4 , 11 , 22 , 44. So, factors of 44 in pair are (1,44), (2,22), (4,11).

#### How can we define factors?

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

#### Properties of Factors

• Each number is a factor of itself. Eg. 44 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 44.
• Every number is a factor of zero (0), since 44 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, 11, 22, 44 are exact divisors of 44.
• Factors of 44 are 1, 2, 4, 11, 22, 44. Each factor divides 44 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 11, 22, 44 are all less than or equal to 44.

#### Steps to find Factors of 44

• Step 1. Find all the numbers that would divide 44 without leaving any remainder. Starting with the number 1 upto 22 (half of 44). The number 1 and the number itself are always factors of the given number.
44 ÷ 1 : Remainder = 0
44 ÷ 2 : Remainder = 0
44 ÷ 4 : Remainder = 0
44 ÷ 11 : Remainder = 0
44 ÷ 22 : Remainder = 0
44 ÷ 44 : Remainder = 0

Hence, Factors of 44 are 1, 2, 4, 11, 22, and 44

• Is 44 a composite number?

Yes 44 is a composite number.

• Is 44 a prime number?

No 44 is not a prime number.

• Is 44 a perfect square?

No 44 is not a perfect square.

• Write five multiples of 44.

Five multiples of 44 are 88, 132, 176, 220, 264.

• Write all odd factors of 44?

The factors of 44 are 1, 2, 4, 11, 22, 44.
Odd factors of 44 are 1 , 11.

#### Examples of Factors

Rustom has been assigned the following tasks by the teacher:
- Finding out all positive factors of 44.
- Writing all prime factors of 44.
- Writing all the possible factors of 44 in pair.
Help him in writing all these.

Positive factors of 44 are 1, 2, 4, 11, 22, 44.
Prime factors of 44 are 2, 2, 11.
Factors of 44 in pair are (1,44), (2,22), (4,11).

What are the pair factors of 44?

Factors of 44 are 1, 2, 4, 11, 22, 44. Hence, the factors of 44 in pair are (1,44), (2,22), (4,11).

Can you help Sammy list the factors of 44 and also find the factor pairs?

Factors of 44 are 1, 2, 4, 11, 22, 44.
Factors of 44 in pair are (1,44), (2,22), (4,11).

The area of a rectangle is 44 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 44 in pair. So, the possible combinations (1,44), (2,22), (4,11).

Help Diji in finding factors of 44 by Prime Factorization method and then sorting factors of 44 in pairs.

Prime factorization of 44 is 2 x 2 x 11. Factors of 44 in pair can be written as (1,44), (2,22), (4,11).

Write the smallest prime factor of 44.

Smallest prime factor of 44 is 2.

Write the largest prime factor of 44.

Largest prime factor of 44 is 11.

Diji wants to write all the negative factors of 44. Can you help Diji in doing the same?

Negative factors of 44 are -1, -2, -4, -11, -22, -44.