# Factors of 1300 in pair

Factors of 1300 in pair are (1, 1300) , (2, 650) , (4, 325) , (5, 260) , (10, 130) , (13, 100) , (20, 65) , (25, 52) and (26, 50)

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

 1.   Steps to find factors of 1300 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 1300 in pair

Factor Pair Pair Factorization
1 and 1300 1 x 1300 = 1300
2 and 650 2 x 650 = 1300
4 and 325 4 x 325 = 1300
5 and 260 5 x 260 = 1300
10 and 130 10 x 130 = 1300
13 and 100 13 x 100 = 1300
20 and 65 20 x 65 = 1300
25 and 52 25 x 52 = 1300
26 and 50 26 x 50 = 1300

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 1300. They are called negative pair factors.

Hence, the negative pairs of 1300 would be ( -1 , -1300 ) .

#### 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 1300 are 1 , 2 , 4 , 5 , 10 , 13 , 20 , 25 , 26 , 50 , 52 , 65 , 100 , 130 , 260 , 325 , 650 , 1300. So, factors of 1300 in pair are (1,1300), (2,650), (4,325), (5,260), (10,130), (13,100), (20,65), (25,52), (26,50).

#### 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. 1300 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 1300.
• Every number is a factor of zero (0), since 1300 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, 25, 26, 50, 52, 65, 100, 130, 260, 325, 650, 1300 are exact divisors of 1300.
• Factors of 1300 are 1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 130, 260, 325, 650, 1300. Each factor divides 1300 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, 25, 26, 50, 52, 65, 100, 130, 260, 325, 650, 1300 are all less than or equal to 1300.

#### Steps to find Factors of 1300

• Step 1. Find all the numbers that would divide 1300 without leaving any remainder. Starting with the number 1 upto 650 (half of 1300). The number 1 and the number itself are always factors of the given number.
1300 ÷ 1 : Remainder = 0
1300 ÷ 2 : Remainder = 0
1300 ÷ 4 : Remainder = 0
1300 ÷ 5 : Remainder = 0
1300 ÷ 10 : Remainder = 0
1300 ÷ 13 : Remainder = 0
1300 ÷ 20 : Remainder = 0
1300 ÷ 25 : Remainder = 0
1300 ÷ 26 : Remainder = 0
1300 ÷ 50 : Remainder = 0
1300 ÷ 52 : Remainder = 0
1300 ÷ 65 : Remainder = 0
1300 ÷ 100 : Remainder = 0
1300 ÷ 130 : Remainder = 0
1300 ÷ 260 : Remainder = 0
1300 ÷ 325 : Remainder = 0
1300 ÷ 650 : Remainder = 0
1300 ÷ 1300 : Remainder = 0

Hence, Factors of 1300 are 1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 130, 260, 325, 650, and 1300

• Is 1300 a composite number?

Yes 1300 is a composite number.

• Is 1300 a prime number?

No 1300 is not a prime number.

• Write five multiples of 1300.

Five multiples of 1300 are 2600, 3900, 5200, 6500, 7800.

• Write all odd factors of 1300?

The factors of 1300 are 1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 130, 260, 325, 650, 1300.
Odd factors of 1300 are 1 , 5 , 13 , 25 , 65 , 325.

• What is the mean of all prime factors of 1300?

Factors of 1300 are 1 , 2 , 4 , 5 , 10 , 13 , 20 , 25 , 26 , 50 , 52 , 65 , 100 , 130 , 260 , 325 , 650 , 1300. Prime factors of 1300 are 2 , 2 , 5 , 5 , 13. Therefore mean of prime factors of 1300 is (2 + 2 + 5 + 5 + 13) / 5 = 5.40.

#### Examples of Factors

Rustom has been assigned the following tasks by the teacher:
- Finding out all positive factors of 1300.
- Writing all prime factors of 1300.
- Writing all the possible factors of 1300 in pair.
Help him in writing all these.

Positive factors of 1300 are 1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 130, 260, 325, 650, 1300.
Prime factors of 1300 are 2, 2, 5, 5, 13.
Factors of 1300 in pair are (1,1300), (2,650), (4,325), (5,260), (10,130), (13,100), (20,65), (25,52), (26,50).

What are the pair factors of 1300?

Factors of 1300 are 1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 130, 260, 325, 650, 1300. Hence, the factors of 1300 in pair are (1,1300), (2,650), (4,325), (5,260), (10,130), (13,100), (20,65), (25,52), (26,50).

Can you help Sammy list the factors of 1300 and also find the factor pairs?

Factors of 1300 are 1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 130, 260, 325, 650, 1300.
Factors of 1300 in pair are (1,1300), (2,650), (4,325), (5,260), (10,130), (13,100), (20,65), (25,52), (26,50).

The area of a rectangle is 1300 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 1300 in pair. So, the possible combinations (1,1300), (2,650), (4,325), (5,260), (10,130), (13,100), (20,65), (25,52), (26,50).

Help Diji in finding factors of 1300 by Prime Factorization method and then sorting factors of 1300 in pairs.

Prime factorization of 1300 is 2 x 2 x 5 x 5 x 13. Factors of 1300 in pair can be written as (1,1300), (2,650), (4,325), (5,260), (10,130), (13,100), (20,65), (25,52), (26,50).

Write the smallest prime factor of 1300.

Smallest prime factor of 1300 is 2.

Write the largest prime factor of 1300.

Largest prime factor of 1300 is 13.

Diji wants to write all the negative factors of 1300. Can you help Diji in doing the same?

Negative factors of 1300 are -1, -2, -4, -5, -10, -13, -20, -25, -26, -50, -52, -65, -100, -130, -260, -325, -650, -1300.