# Factors of 110 in pair

Factors of 110 in pair are (1, 110) , (2, 55) , (5, 22) and (10, 11)

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

 1.   Steps to find factors of 110 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 110 in pair

Factor Pair Pair Factorization
1 and 110 1 x 110 = 110
2 and 55 2 x 55 = 110
5 and 22 5 x 22 = 110
10 and 11 10 x 11 = 110

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 110. They are called negative pair factors.

Hence, the negative pairs of 110 would be ( -1 , -110 ) .

#### 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 110 are 1 , 2 , 5 , 10 , 11 , 22 , 55 , 110. So, factors of 110 in pair are (1,110), (2,55), (5,22), (10,11).

#### 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. 110 is a factor of itself.
• 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, 5, 10, 11, 22, 55, 110 are exact divisors of 110.
• 1 is a factor of every number. Eg. 1 is a factor of 110.
• Every number is a factor of zero (0), since 110 x 0 = 0.

#### Steps to find Factors of 110

• Step 1. Find all the numbers that would divide 110 without leaving any remainder. Starting with the number 1 upto 55 (half of 110). The number 1 and the number itself are always factors of the given number.
110 ÷ 1 : Remainder = 0
110 ÷ 2 : Remainder = 0
110 ÷ 5 : Remainder = 0
110 ÷ 10 : Remainder = 0
110 ÷ 11 : Remainder = 0
110 ÷ 22 : Remainder = 0
110 ÷ 55 : Remainder = 0
110 ÷ 110 : Remainder = 0

Hence, Factors of 110 are 1, 2, 5, 10, 11, 22, 55, and 110

• Is 110 a composite number?

Yes 110 is a composite number.

• Is 110 a prime number?

No 110 is not a prime number.

• Is 110 a perfect square?

No 110 is not a perfect square.

• Write five multiples of 110.

Five multiples of 110 are 220, 330, 440, 550, 660.

• Write all odd factors of 110?

The factors of 110 are 1, 2, 5, 10, 11, 22, 55, 110.
Odd factors of 110 are 1 , 5 , 11 , 55.

#### Examples of Factors

Can you help Rubel in arranging 110 blocks in order to form a rectangle in all possible ways? For arranging 110 blocks in order to form a rectangle in all possible ways we need to find factors of 110 in pair.

Factors of 110 are 1, 2, 5, 10, 11, 22, 55, 110. So, factors of 110 in pair are (1,110), (2,55), (5,22), (10,11).

Ariel has been asked to write all factor pairs of 110 but she is finding it difficult. Can you help her find out?

Factors of 110 are 1, 2, 5, 10, 11, 22, 55, 110. So, factors of 110 in pair are (1,110), (2,55), (5,22), (10,11).

How many total number of factors of 110 in pair are possible?

Factors of 110 are 1, 2, 5, 10, 11, 22, 55, 110. Hence, the factors of 110 in pair are (1,110), (2,55), (5,22), (10,11). Therefore, in total 4 pairs of factors are possible.

Sammy wants to write all the negative factors of 110 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 110 are -1, -2, -5, -10, -11, -22, -55, -110. Hence, factors of 110 in pair are (-1,-110), (-2,-55), (-5,-22), (-10,-11).

Help Deep in writing the positive factors of 110 in pair and negative factor of 110 in pair.

Factors of 110 are 1, 2, 5, 10, 11, 22, 55, 110. Positive factors of 110 in pair are (1,110), (2,55), (5,22), (10,11). Negative factors of 110 in pair are (-1,-110), (-2,-55), (-5,-22), (-10,-11).

Find the product of all factors of 110.

Factors of 110 are 1, 2, 5, 10, 11, 22, 55, 110. So the product of all factors of 110 would be 1 x 2 x 5 x 10 x 11 x 22 x 55 x 110 = 146410000.

A student has been assigned the following tasks by the teacher:
- Finding out all positive factors of 110.
- Writing all prime factors of 110.
- Writing all the possible factors of 110 in pair.
Help him in writing all these.

Positive factors of 110 are 1, 2, 5, 10, 11, 22, 55, 110.
Prime factors of 110 are 2, 5, 11.
Factors of 110 in pair are (1,110), (2,55), (5,22), (10,11).

Can you help Sammy list the factors of 110 and also find the factor pairs?

Factors of 110 are 1, 2, 5, 10, 11, 22, 55, 110.
Factors of 110 in pair are (1,110), (2,55), (5,22), (10,11).