# Factors of 308 in pair

Factors of 308 in pair are (1, 308) , (2, 154) , (4, 77) , (7, 44) , (11, 28) and (14, 22)

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

 1.   Steps to find factors of 308 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 308 in pair

Factor Pair Pair Factorization
1 and 308 1 x 308 = 308
2 and 154 2 x 154 = 308
4 and 77 4 x 77 = 308
7 and 44 7 x 44 = 308
11 and 28 11 x 28 = 308
14 and 22 14 x 22 = 308

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 308. They are called negative pair factors.

Hence, the negative pairs of 308 would be ( -1 , -308 ) .

#### What does factor pairs in mathematics mean?

In mathematics, factor pair of a number are all those possible combination which when multiplied together give the original number in return. Every natural number is a product of atleast one factor pair. Eg- Factors of 308 are 1 , 2 , 4 , 7 , 11 , 14 , 22 , 28 , 44 , 77 , 154 , 308. So, factors of 308 in pair are (1,308), (2,154), (4,77), (7,44), (11,28), (14,22).

#### What is the definition of factors?

In mathematics, factors are number, algebraic expressions which when multiplied together produce desired product. A factor of a number can be positive or negative.

#### Properties of Factors

• Each number is a factor of itself. Eg. 308 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 308.
• Every number is a factor of zero (0), since 308 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, 11, 14, 22, 28, 44, 77, 154, 308 are exact divisors of 308.
• Factors of 308 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308. Each factor divides 308 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308 are all less than or equal to 308.

#### Steps to find Factors of 308

• Step 1. Find all the numbers that would divide 308 without leaving any remainder. Starting with the number 1 upto 154 (half of 308). The number 1 and the number itself are always factors of the given number.
308 ÷ 1 : Remainder = 0
308 ÷ 2 : Remainder = 0
308 ÷ 4 : Remainder = 0
308 ÷ 7 : Remainder = 0
308 ÷ 11 : Remainder = 0
308 ÷ 14 : Remainder = 0
308 ÷ 22 : Remainder = 0
308 ÷ 28 : Remainder = 0
308 ÷ 44 : Remainder = 0
308 ÷ 77 : Remainder = 0
308 ÷ 154 : Remainder = 0
308 ÷ 308 : Remainder = 0

Hence, Factors of 308 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, and 308

• Is 308 a composite number?

Yes 308 is a composite number.

• Is 308 a prime number?

No 308 is not a prime number.

• Is 308 a perfect square?

No 308 is not a perfect square.

• Write five multiples of 308.

Five multiples of 308 are 616, 924, 1232, 1540, 1848.

• Write all odd factors of 308?

The factors of 308 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308.
Odd factors of 308 are 1 , 7 , 11 , 77.

#### Examples of Factors

Rustom has been assigned the following tasks by the teacher:
- Finding out all positive factors of 308.
- Writing all prime factors of 308.
- Writing all the possible factors of 308 in pair.
Help him in writing all these.

Positive factors of 308 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308.
Prime factors of 308 are 2, 2, 7, 11.
Factors of 308 in pair are (1,308), (2,154), (4,77), (7,44), (11,28), (14,22).

What are the pair factors of 308?

Factors of 308 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308. Hence, the factors of 308 in pair are (1,308), (2,154), (4,77), (7,44), (11,28), (14,22).

Can you help Sammy list the factors of 308 and also find the factor pairs?

Factors of 308 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308.
Factors of 308 in pair are (1,308), (2,154), (4,77), (7,44), (11,28), (14,22).

The area of a rectangle is 308 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 308 in pair. So, the possible combinations (1,308), (2,154), (4,77), (7,44), (11,28), (14,22).

Help Diji in finding factors of 308 by Prime Factorization method and then sorting factors of 308 in pairs.

Prime factorization of 308 is 2 x 2 x 7 x 11. Factors of 308 in pair can be written as (1,308), (2,154), (4,77), (7,44), (11,28), (14,22).

Write the smallest prime factor of 308.

Smallest prime factor of 308 is 2.

Write the largest prime factor of 308.

Largest prime factor of 308 is 11.

Diji wants to write all the negative factors of 308. Can you help Diji in doing the same?

Negative factors of 308 are -1, -2, -4, -7, -11, -14, -22, -28, -44, -77, -154, -308.