# Factors of 284 in pair

Factors of 284 in pair are (1, 284) , (2, 142) and (4, 71)

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

 1.   Steps to find factors of 284 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 284 in pair

Factor Pair Pair Factorization
1 and 284 1 x 284 = 284
2 and 142 2 x 142 = 284
4 and 71 4 x 71 = 284

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 284. They are called negative pair factors.

Hence, the negative pairs of 284 would be ( -1 , -284 ) .

#### 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 284 are 1 , 2 , 4 , 71 , 142 , 284. So, factors of 284 in pair are (1,284), (2,142), (4,71).

#### 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. 284 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 284.
• Every number is a factor of zero (0), since 284 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, 71, 142, 284 are exact divisors of 284.
• Factors of 284 are 1, 2, 4, 71, 142, 284. Each factor divides 284 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 71, 142, 284 are all less than or equal to 284.

#### Steps to find Factors of 284

• Step 1. Find all the numbers that would divide 284 without leaving any remainder. Starting with the number 1 upto 142 (half of 284). The number 1 and the number itself are always factors of the given number.
284 ÷ 1 : Remainder = 0
284 ÷ 2 : Remainder = 0
284 ÷ 4 : Remainder = 0
284 ÷ 71 : Remainder = 0
284 ÷ 142 : Remainder = 0
284 ÷ 284 : Remainder = 0

Hence, Factors of 284 are 1, 2, 4, 71, 142, and 284

• Is 284 a composite number?

Yes 284 is a composite number.

• Is 284 a prime number?

No 284 is not a prime number.

• Is 284 a perfect square?

No 284 is not a perfect square.

• Write five multiples of 284.

Five multiples of 284 are 568, 852, 1136, 1420, 1704.

• Write all odd factors of 284?

The factors of 284 are 1, 2, 4, 71, 142, 284.
Odd factors of 284 are 1 , 71.

#### Examples of Factors

Rustom has been assigned the following tasks by the teacher:
- Finding out all positive factors of 284.
- Writing all prime factors of 284.
- Writing all the possible factors of 284 in pair.
Help him in writing all these.

Positive factors of 284 are 1, 2, 4, 71, 142, 284.
Prime factors of 284 are 2, 2, 71.
Factors of 284 in pair are (1,284), (2,142), (4,71).

What are the pair factors of 284?

Factors of 284 are 1, 2, 4, 71, 142, 284. Hence, the factors of 284 in pair are (1,284), (2,142), (4,71).

Can you help Sammy list the factors of 284 and also find the factor pairs?

Factors of 284 are 1, 2, 4, 71, 142, 284.
Factors of 284 in pair are (1,284), (2,142), (4,71).

The area of a rectangle is 284 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 284 in pair. So, the possible combinations (1,284), (2,142), (4,71).

Help Diji in finding factors of 284 by Prime Factorization method and then sorting factors of 284 in pairs.

Prime factorization of 284 is 2 x 2 x 71. Factors of 284 in pair can be written as (1,284), (2,142), (4,71).

Write the smallest prime factor of 284.

Smallest prime factor of 284 is 2.

Write the largest prime factor of 284.

Largest prime factor of 284 is 71.

Diji wants to write all the negative factors of 284. Can you help Diji in doing the same?

Negative factors of 284 are -1, -2, -4, -71, -142, -284.