# Factors of 228 in pair

Factors of 228 in pair are (1, 228) , (2, 114) , (3, 76) , (4, 57) , (6, 38) and (12, 19)

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

 1.   Steps to find factors of 228 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 228 in pair

Factor Pair Pair Factorization
1 and 228 1 x 228 = 228
2 and 114 2 x 114 = 228
3 and 76 3 x 76 = 228
4 and 57 4 x 57 = 228
6 and 38 6 x 38 = 228
12 and 19 12 x 19 = 228

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 228. They are called negative pair factors.

Hence, the negative pairs of 228 would be ( -1 , -228 ) .

#### 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 228 are 1 , 2 , 3 , 4 , 6 , 12 , 19 , 38 , 57 , 76 , 114 , 228. So, factors of 228 in pair are (1,228), (2,114), (3,76), (4,57), (6,38), (12,19).

#### 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. 228 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 228.
• Every number is a factor of zero (0), since 228 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, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228 are exact divisors of 228.
• Factors of 228 are 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228. Each factor divides 228 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228 are all less than or equal to 228.

#### Steps to find Factors of 228

• Step 1. Find all the numbers that would divide 228 without leaving any remainder. Starting with the number 1 upto 114 (half of 228). The number 1 and the number itself are always factors of the given number.
228 ÷ 1 : Remainder = 0
228 ÷ 2 : Remainder = 0
228 ÷ 3 : Remainder = 0
228 ÷ 4 : Remainder = 0
228 ÷ 6 : Remainder = 0
228 ÷ 12 : Remainder = 0
228 ÷ 19 : Remainder = 0
228 ÷ 38 : Remainder = 0
228 ÷ 57 : Remainder = 0
228 ÷ 76 : Remainder = 0
228 ÷ 114 : Remainder = 0
228 ÷ 228 : Remainder = 0

Hence, Factors of 228 are 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, and 228

• Is 228 a composite number?

Yes 228 is a composite number.

• Is 228 a prime number?

No 228 is not a prime number.

• What is the mean of factors of 228?

Factors of 228 are 1 , 2 , 3 , 4 , 6 , 12 , 19 , 38 , 57 , 76 , 114 , 228. therefore mean of factors of 228 is (1 + 2 + 3 + 4 + 6 + 12 + 19 + 38 + 57 + 76 + 114 + 228) / 12 = 46.67.

• What do you mean by proper divisors?

A number x is said to be the proper divisor of y if it divides y completely, given that x is smaller than y.

• What do you mean by improper divisors?

An improper divisor of a number is the number itself apart from this any divisor of a given number is a proper divisor.

#### Examples of Factors

Rustom has been assigned the following tasks by the teacher:
- Finding out all positive factors of 228.
- Writing all prime factors of 228.
- Writing all the possible factors of 228 in pair.
Help him in writing all these.

Positive factors of 228 are 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228.
Prime factors of 228 are 2, 2, 3, 19.
Factors of 228 in pair are (1,228), (2,114), (3,76), (4,57), (6,38), (12,19).

What are the pair factors of 228?

Factors of 228 are 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228. Hence, the factors of 228 in pair are (1,228), (2,114), (3,76), (4,57), (6,38), (12,19).

Can you help Sammy list the factors of 228 and also find the factor pairs?

Factors of 228 are 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228.
Factors of 228 in pair are (1,228), (2,114), (3,76), (4,57), (6,38), (12,19).

The area of a rectangle is 228 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 228 in pair. So, the possible combinations (1,228), (2,114), (3,76), (4,57), (6,38), (12,19).

Help Diji in finding factors of 228 by Prime Factorization method and then sorting factors of 228 in pairs.

Prime factorization of 228 is 2 x 2 x 3 x 19. Factors of 228 in pair can be written as (1,228), (2,114), (3,76), (4,57), (6,38), (12,19).

Write the smallest prime factor of 228.

Smallest prime factor of 228 is 2.

Write the largest prime factor of 228.

Largest prime factor of 228 is 19.

Diji wants to write all the negative factors of 228. Can you help Diji in doing the same?

Negative factors of 228 are -1, -2, -3, -4, -6, -12, -19, -38, -57, -76, -114, -228.