# Factors of 1122 in pair

Factors of 1122 in pair are (1, 1122) , (2, 561) , (3, 374) , (6, 187) , (11, 102) , (17, 66) , (22, 51) and (33, 34)

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

 1.   Steps to find factors of 1122 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 1122 in pair

Factor Pair Pair Factorization
1 and 1122 1 x 1122 = 1122
2 and 561 2 x 561 = 1122
3 and 374 3 x 374 = 1122
6 and 187 6 x 187 = 1122
11 and 102 11 x 102 = 1122
17 and 66 17 x 66 = 1122
22 and 51 22 x 51 = 1122
33 and 34 33 x 34 = 1122

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 1122. They are called negative pair factors.

Hence, the negative pairs of 1122 would be ( -1 , -1122 ) .

#### How do you define factor pairs of a number?

A factor pair of a number can be defined as the combination of two factors in such a way that when multiplied together produce the number itself. Every natural number is a product of atleast one factor pair. Eg- Factors of 1122 are 1 , 2 , 3 , 6 , 11 , 17 , 22 , 33 , 34 , 51 , 66 , 102 , 187 , 374 , 561 , 1122. So, factors of 1122 in pair are (1,1122), (2,561), (3,374), (6,187), (11,102), (17,66), (22,51), (33,34).

#### How do you explain factors?

In mathematics, a factor is a number or also it can be an algebraic expression that divides another number or any expression completely and that too without leaving any remainder. A factor of a number can be positive or negative.

#### Properties of Factors

• Each number is a factor of itself. Eg. 1122 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, 3, 6, 11, 17, 22, 33, 34, 51, 66, 102, 187, 374, 561, 1122 are exact divisors of 1122.
• 1 is a factor of every number. Eg. 1 is a factor of 1122.
• Every number is a factor of zero (0), since 1122 x 0 = 0.

#### Steps to find Factors of 1122

• Step 1. Find all the numbers that would divide 1122 without leaving any remainder. Starting with the number 1 upto 561 (half of 1122). The number 1 and the number itself are always factors of the given number.
1122 ÷ 1 : Remainder = 0
1122 ÷ 2 : Remainder = 0
1122 ÷ 3 : Remainder = 0
1122 ÷ 6 : Remainder = 0
1122 ÷ 11 : Remainder = 0
1122 ÷ 17 : Remainder = 0
1122 ÷ 22 : Remainder = 0
1122 ÷ 33 : Remainder = 0
1122 ÷ 34 : Remainder = 0
1122 ÷ 51 : Remainder = 0
1122 ÷ 66 : Remainder = 0
1122 ÷ 102 : Remainder = 0
1122 ÷ 187 : Remainder = 0
1122 ÷ 374 : Remainder = 0
1122 ÷ 561 : Remainder = 0
1122 ÷ 1122 : Remainder = 0

Hence, Factors of 1122 are 1, 2, 3, 6, 11, 17, 22, 33, 34, 51, 66, 102, 187, 374, 561, and 1122

• Is 1122 a composite number?

Yes 1122 is a composite number.

• Is 1122 a prime number?

No 1122 is not a prime number.

• What is the mean of factors of 1122?

Factors of 1122 are 1 , 2 , 3 , 6 , 11 , 17 , 22 , 33 , 34 , 51 , 66 , 102 , 187 , 374 , 561 , 1122. therefore mean of factors of 1122 is (1 + 2 + 3 + 6 + 11 + 17 + 22 + 33 + 34 + 51 + 66 + 102 + 187 + 374 + 561 + 1122) / 16 = 162.00.

• What do you mean by proper divisors?

A number x is said to be the proper divisor of y if it divides y completely, given that x is smaller than y.

• What do you mean by improper divisors?

An improper divisor of a number is the number itself apart from this any divisor of a given number is a proper divisor.

#### Examples of Factors

Ariel has been asked to write all factor pairs of 1122 but she is finding it difficult. Can you help her find out?

Factors of 1122 are 1, 2, 3, 6, 11, 17, 22, 33, 34, 51, 66, 102, 187, 374, 561, 1122. So, factors of 1122 in pair are (1,1122), (2,561), (3,374), (6,187), (11,102), (17,66), (22,51), (33,34).

Sammy wants to write all the negative factors of 1122 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 1122 are -1, -2, -3, -6, -11, -17, -22, -33, -34, -51, -66, -102, -187, -374, -561, -1122. Hence, factors of 1122 in pair are (-1,-1122), (-2,-561), (-3,-374), (-6,-187), (-11,-102), (-17,-66), (-22,-51), (-33,-34).

Help Deep in writing the positive factors of 1122 in pair and negative factor of 1122 in pair.

Factors of 1122 are 1, 2, 3, 6, 11, 17, 22, 33, 34, 51, 66, 102, 187, 374, 561, 1122. Positive factors of 1122 in pair are (1,1122), (2,561), (3,374), (6,187), (11,102), (17,66), (22,51), (33,34). Negative factors of 1122 in pair are (-1,-1122), (-2,-561), (-3,-374), (-6,-187), (-11,-102), (-17,-66), (-22,-51), (-33,-34).

Find the product of all prime factors of 1122.

Factors of 1122 are 1, 2, 3, 6, 11, 17, 22, 33, 34, 51, 66, 102, 187, 374, 561, 1122. Prime factors are 2, 3, 11, 17. So, the product of all prime factors of 1122 would be 2 x 3 x 11 x 17 = 1122.

Can you help Sammy list the factors of 1122 and also find the factor pairs?

Factors of 1122 are 1, 2, 3, 6, 11, 17, 22, 33, 34, 51, 66, 102, 187, 374, 561, 1122.
Factors of 1122 in pair are (1,1122), (2,561), (3,374), (6,187), (11,102), (17,66), (22,51), (33,34).

Help Diji in finding factors of 1122 by Prime Factorization method and then sorting factors of 1122 in pairs.

Prime factorization of 1122 is 2 x 3 x 11 x 17. Factors of 1122 in pair can be written as (1,1122), (2,561), (3,374), (6,187), (11,102), (17,66), (22,51), (33,34).

Write the smallest prime factor of 1122.

Smallest prime factor of 1122 is 2.

Write the largest prime factor of 1122.

Largest prime factor of 1122 is 17.