# Factors of 484 in pair

Factors of 484 in pair are (1, 484) , (2, 242) , (4, 121) , (11, 44) and (22, 22)

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

 1.   Steps to find factors of 484 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 484 in pair

Factor Pair Pair Factorization
1 and 484 1 x 484 = 484
2 and 242 2 x 242 = 484
4 and 121 4 x 121 = 484
11 and 44 11 x 44 = 484
22 and 22 22 x 22 = 484

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 484. They are called negative pair factors.

Hence, the negative pairs of 484 would be ( -1 , -484 ) .

#### 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 484 are 1 , 2 , 4 , 11 , 22 , 44 , 121 , 242 , 484. So, factors of 484 in pair are (1,484), (2,242), (4,121), (11,44), (22,22).

#### 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. 484 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 484.
• Every number is a factor of zero (0), since 484 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, 121, 242, 484 are exact divisors of 484.
• Factors of 484 are 1, 2, 4, 11, 22, 44, 121, 242, 484. Each factor divides 484 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 11, 22, 44, 121, 242, 484 are all less than or equal to 484.

#### Steps to find Factors of 484

• Step 1. Find all the numbers that would divide 484 without leaving any remainder. Starting with the number 1 upto 242 (half of 484). The number 1 and the number itself are always factors of the given number.
484 ÷ 1 : Remainder = 0
484 ÷ 2 : Remainder = 0
484 ÷ 4 : Remainder = 0
484 ÷ 11 : Remainder = 0
484 ÷ 22 : Remainder = 0
484 ÷ 44 : Remainder = 0
484 ÷ 121 : Remainder = 0
484 ÷ 242 : Remainder = 0
484 ÷ 484 : Remainder = 0

Hence, Factors of 484 are 1, 2, 4, 11, 22, 44, 121, 242, and 484

• Is 484 a composite number?

Yes 484 is a composite number.

• Is 484 a prime number?

No 484 is not a prime number.

• Write five multiples of 484.

Five multiples of 484 are 968, 1452, 1936, 2420, 2904.

• Write all odd factors of 484?

The factors of 484 are 1, 2, 4, 11, 22, 44, 121, 242, 484.
Odd factors of 484 are 1 , 11 , 121.

• What is the mean of all prime factors of 484?

Factors of 484 are 1 , 2 , 4 , 11 , 22 , 44 , 121 , 242 , 484. Prime factors of 484 are 2 , 2 , 11 , 11. Therefore mean of prime factors of 484 is (2 + 2 + 11 + 11) / 4 = 6.50.

#### Examples of Factors

Rustom has been assigned the following tasks by the teacher:
- Finding out all positive factors of 484.
- Writing all prime factors of 484.
- Writing all the possible factors of 484 in pair.
Help him in writing all these.

Positive factors of 484 are 1, 2, 4, 11, 22, 44, 121, 242, 484.
Prime factors of 484 are 2, 2, 11, 11.
Factors of 484 in pair are (1,484), (2,242), (4,121), (11,44), (22,22).

What are the pair factors of 484?

Factors of 484 are 1, 2, 4, 11, 22, 44, 121, 242, 484. Hence, the factors of 484 in pair are (1,484), (2,242), (4,121), (11,44), (22,22).

Can you help Sammy list the factors of 484 and also find the factor pairs?

Factors of 484 are 1, 2, 4, 11, 22, 44, 121, 242, 484.
Factors of 484 in pair are (1,484), (2,242), (4,121), (11,44), (22,22).

The area of a rectangle is 484 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 484 in pair. So, the possible combinations (1,484), (2,242), (4,121), (11,44), (22,22).

Help Diji in finding factors of 484 by Prime Factorization method and then sorting factors of 484 in pairs.

Prime factorization of 484 is 2 x 2 x 11 x 11. Factors of 484 in pair can be written as (1,484), (2,242), (4,121), (11,44), (22,22).

Write the smallest prime factor of 484.

Smallest prime factor of 484 is 2.

Write the largest prime factor of 484.

Largest prime factor of 484 is 11.

Diji wants to write all the negative factors of 484. Can you help Diji in doing the same?

Negative factors of 484 are -1, -2, -4, -11, -22, -44, -121, -242, -484.