Factors of 1100 in pair

Steps to find factors of 1100 in pair

Find all the numbers that would divide 1100 without leaving any remainder. Starting with the number 1 upto 550 (half of 1100). The number 1 and the number itself are always factors of the given number.
Pair the factors so that their product is 1100, and read off the answer!

Example: Find factors of 1100 in pair

Factor Pair	Pair Factorization
1 and 1100	1 x 1100 = 1100
2 and 550	2 x 550 = 1100
4 and 275	4 x 275 = 1100
5 and 220	5 x 220 = 1100
10 and 110	10 x 110 = 1100
11 and 100	11 x 100 = 1100
20 and 55	20 x 55 = 1100
22 and 50	22 x 50 = 1100
25 and 44	25 x 44 = 1100

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 1100. They are called negative pair factors.

Hence, the negative pairs of 1100 would be ( -1 , -1100 ) .

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 1100 are 1 , 2 , 4 , 5 , 10 , 11 , 20 , 22 , 25 , 44 , 50 , 55 , 100 , 110 , 220 , 275 , 550 , 1100. So, factors of 1100 in pair are (1,1100), (2,550), (4,275), (5,220), (10,110), (11,100), (20,55), (22,50), (25,44).

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. 1100 is a factor of itself.
1 is a factor of every number. Eg. 1 is a factor of 1100.
Every number is a factor of zero (0), since 1100 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, 11, 20, 22, 25, 44, 50, 55, 100, 110, 220, 275, 550, 1100 are exact divisors of 1100.
Factors of 1100 are 1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 100, 110, 220, 275, 550, 1100. Each factor divides 1100 without leaving a remainder.
Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 100, 110, 220, 275, 550, 1100 are all less than or equal to 1100.

Steps to find Factors of 1100

Step 1. Find all the numbers that would divide 1100 without leaving any remainder. Starting with the number 1 upto 550 (half of 1100). The number 1 and the number itself are always factors of the given number.

1100 ÷ 1 : Remainder = 0

1100 ÷ 2 : Remainder = 0

1100 ÷ 4 : Remainder = 0

1100 ÷ 5 : Remainder = 0

1100 ÷ 10 : Remainder = 0

1100 ÷ 11 : Remainder = 0

1100 ÷ 20 : Remainder = 0

1100 ÷ 22 : Remainder = 0

1100 ÷ 25 : Remainder = 0

1100 ÷ 44 : Remainder = 0

1100 ÷ 50 : Remainder = 0

1100 ÷ 55 : Remainder = 0

1100 ÷ 100 : Remainder = 0

1100 ÷ 110 : Remainder = 0

1100 ÷ 220 : Remainder = 0

1100 ÷ 275 : Remainder = 0

1100 ÷ 550 : Remainder = 0

1100 ÷ 1100 : Remainder = 0

Hence, Factors of 1100 are 1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 100, 110, 220, 275, 550, and 1100

Frequently Asked Questions

Is 1100 a composite number?
Yes 1100 is a composite number.
Is 1100 a prime number?
No 1100 is not a prime number.
Is 1100 a perfect square?
No 1100 is not a perfect square.
Write five multiples of 1100.
Five multiples of 1100 are 2200, 3300, 4400, 5500, 6600.
Write all odd factors of 1100?
The factors of 1100 are 1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 100, 110, 220, 275, 550, 1100.
Odd factors of 1100 are 1 , 5 , 11 , 25 , 55 , 275.

Examples of Factors

Rustom has been assigned the following tasks by the teacher:
- Finding out all positive factors of 1100.
- Writing all prime factors of 1100.
- Writing all the possible factors of 1100 in pair.
Help him in writing all these.

Positive factors of 1100 are 1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 100, 110, 220, 275, 550, 1100.
Prime factors of 1100 are 2, 2, 5, 5, 11.
Factors of 1100 in pair are (1,1100), (2,550), (4,275), (5,220), (10,110), (11,100), (20,55), (22,50), (25,44).

What are the pair factors of 1100?

Factors of 1100 are 1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 100, 110, 220, 275, 550, 1100. Hence, the factors of 1100 in pair are (1,1100), (2,550), (4,275), (5,220), (10,110), (11,100), (20,55), (22,50), (25,44).

Can you help Sammy list the factors of 1100 and also find the factor pairs?

Factors of 1100 are 1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 100, 110, 220, 275, 550, 1100.
Factors of 1100 in pair are (1,1100), (2,550), (4,275), (5,220), (10,110), (11,100), (20,55), (22,50), (25,44).

The area of a rectangle is 1100 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 1100 in pair. So, the possible combinations (1,1100), (2,550), (4,275), (5,220), (10,110), (11,100), (20,55), (22,50), (25,44).

Help Diji in finding factors of 1100 by Prime Factorization method and then sorting factors of 1100 in pairs.

Prime factorization of 1100 is 2 x 2 x 5 x 5 x 11. Factors of 1100 in pair can be written as (1,1100), (2,550), (4,275), (5,220), (10,110), (11,100), (20,55), (22,50), (25,44).

Write the smallest prime factor of 1100.

Smallest prime factor of 1100 is 2.

Write the largest prime factor of 1100.

Largest prime factor of 1100 is 11.

Diji wants to write all the negative factors of 1100. Can you help Diji in doing the same?

Negative factors of 1100 are -1, -2, -4, -5, -10, -11, -20, -22, -25, -44, -50, -55, -100, -110, -220, -275, -550, -1100.

How to find factors of a number in pair