# Factors of 260 in pair

Factors of 260 in pair are (1, 260) , (2, 130) , (4, 65) , (5, 52) , (10, 26) and (13, 20)

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

 1.   Steps to find factors of 260 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 260 in pair

Factor Pair Pair Factorization
1 and 260 1 x 260 = 260
2 and 130 2 x 130 = 260
4 and 65 4 x 65 = 260
5 and 52 5 x 52 = 260
10 and 26 10 x 26 = 260
13 and 20 13 x 20 = 260

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 260. They are called negative pair factors.

Hence, the negative pairs of 260 would be ( -1 , -260 ) .

#### Definition of factor pairs?

In mathematics, factor pair are often given as pair of numbers which when multiplied together give the original number. Every natural number is a product of atleast one factor pair. Eg- Factors of 260 are 1 , 2 , 4 , 5 , 10 , 13 , 20 , 26 , 52 , 65 , 130 , 260. So, factors of 260 in pair are (1,260), (2,130), (4,65), (5,52), (10,26), (13,20).

#### What are factors?

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

#### Properties of Factors

• Each number is a factor of itself. Eg. 260 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 260.
• Every number is a factor of zero (0), since 260 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, 5, 10, 13, 20, 26, 52, 65, 130, 260 are exact divisors of 260.
• Factors of 260 are 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260. Each factor divides 260 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260 are all less than or equal to 260.

#### Steps to find Factors of 260

• Step 1. Find all the numbers that would divide 260 without leaving any remainder. Starting with the number 1 upto 130 (half of 260). The number 1 and the number itself are always factors of the given number.
260 ÷ 1 : Remainder = 0
260 ÷ 2 : Remainder = 0
260 ÷ 4 : Remainder = 0
260 ÷ 5 : Remainder = 0
260 ÷ 10 : Remainder = 0
260 ÷ 13 : Remainder = 0
260 ÷ 20 : Remainder = 0
260 ÷ 26 : Remainder = 0
260 ÷ 52 : Remainder = 0
260 ÷ 65 : Remainder = 0
260 ÷ 130 : Remainder = 0
260 ÷ 260 : Remainder = 0

Hence, Factors of 260 are 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, and 260

• Is 260 a composite number?

Yes 260 is a composite number.

• Is 260 a prime number?

No 260 is not a prime number.

• Is 260 a perfect square?

No 260 is not a perfect square.

• Write five multiples of 260.

Five multiples of 260 are 520, 780, 1040, 1300, 1560.

• Write all odd factors of 260?

The factors of 260 are 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260.
Odd factors of 260 are 1 , 5 , 13 , 65.

#### Examples of Factors

Rustom has been assigned the following tasks by the teacher:
- Finding out all positive factors of 260.
- Writing all prime factors of 260.
- Writing all the possible factors of 260 in pair.
Help him in writing all these.

Positive factors of 260 are 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260.
Prime factors of 260 are 2, 2, 5, 13.
Factors of 260 in pair are (1,260), (2,130), (4,65), (5,52), (10,26), (13,20).

What are the pair factors of 260?

Factors of 260 are 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260. Hence, the factors of 260 in pair are (1,260), (2,130), (4,65), (5,52), (10,26), (13,20).

Can you help Sammy list the factors of 260 and also find the factor pairs?

Factors of 260 are 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260.
Factors of 260 in pair are (1,260), (2,130), (4,65), (5,52), (10,26), (13,20).

The area of a rectangle is 260 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 260 in pair. So, the possible combinations (1,260), (2,130), (4,65), (5,52), (10,26), (13,20).

Help Diji in finding factors of 260 by Prime Factorization method and then sorting factors of 260 in pairs.

Prime factorization of 260 is 2 x 2 x 5 x 13. Factors of 260 in pair can be written as (1,260), (2,130), (4,65), (5,52), (10,26), (13,20).

Write the smallest prime factor of 260.

Smallest prime factor of 260 is 2.

Write the largest prime factor of 260.

Largest prime factor of 260 is 13.

Diji wants to write all the negative factors of 260. Can you help Diji in doing the same?

Negative factors of 260 are -1, -2, -4, -5, -10, -13, -20, -26, -52, -65, -130, -260.