# Factors of 1122

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

#### How to find factors of a number

 1.   Find factors of 1122 using Division Method 2.   Find factors of 1122 using Prime Factorization 3.   Find factors of 1122 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 1122

• Divide 1122 by 1: 1122 ÷ 1 : Remainder = 0
• Divide 1122 by 2: 1122 ÷ 2 : Remainder = 0
• Divide 1122 by 3: 1122 ÷ 3 : Remainder = 0
• Divide 1122 by 6: 1122 ÷ 6 : Remainder = 0
• Divide 1122 by 11: 1122 ÷ 11 : Remainder = 0
• Divide 1122 by 17: 1122 ÷ 17 : Remainder = 0
• Divide 1122 by 22: 1122 ÷ 22 : Remainder = 0
• Divide 1122 by 33: 1122 ÷ 33 : Remainder = 0
• Divide 1122 by 34: 1122 ÷ 34 : Remainder = 0
• Divide 1122 by 51: 1122 ÷ 51 : Remainder = 0
• Divide 1122 by 66: 1122 ÷ 66 : Remainder = 0
• Divide 1122 by 102: 1122 ÷ 102 : Remainder = 0
• Divide 1122 by 187: 1122 ÷ 187 : Remainder = 0
• Divide 1122 by 374: 1122 ÷ 374 : Remainder = 0
• Divide 1122 by 561: 1122 ÷ 561 : Remainder = 0
• Divide 1122 by 1122: 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

#### 2. Steps to find factors of 1122 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

#### Method 1: Division Method

To find the primefactors of 1122 using the division method, follow these steps:

• Step 1. Start dividing 1122 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 1122, which is 2. Divide 1122 by 2 to obtain the quotient (561).
1122 ÷ 2 = 561
• Step 3. Repeat step 1 with the obtained quotient (561).
561 ÷ 3 = 187
187 ÷ 11 = 17
17 ÷ 17 = 1

So, the prime factorization of 1122 is, 1122 = 2 x 3 x 11 x 17.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 1122 as shown below:

So, the prime factorization of 1122 is, 1122 = 2 x 3 x 11 x 17.

#### 3. Find factors of 1122 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 1122 would be the two numbers which, when multiplied, give 1122 as the result.

The following table represents the calculation of factors of 1122 in pairs:

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 ) , ( -2 , -561 ) , ( -3 , -374 ) , ( -6 , -187 ) , ( -11 , -102 ) , ( -17 , -66 ) , ( -22 , -51 ) and ( -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.

• How do you find factors of a negative number? ( eg. -1122 )?

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

• What is the sum of all factors of 1122?

The sum of all factors of 1122 is 2592.

• What is prime factorization of 1122?

Prime factorization of 1122 is 2 x 3 x 11 x 17.

• What are the pair factors of 1122?

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

• What are six multiples of 1122?

First five multiples of 1122 are 2244, 3366, 4488, 5610, 6732, 7854.

• Is 1122 a whole number?

Yes 1122 is a whole number.

• Which is the smallest prime factor of 1122?

Smallest prime factor of 1122 is 2.

• What are five multiples of 1122?

First five multiples of 1122 are 2244, 3366, 4488, 5610, 6732.

• Write all factors of 1122?

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

#### Examples of Factors

Joey wants to write all the prime factors of 1122 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 1122 are 2, 3, 11, 17.
So in exponential form it can be written as 2 x 3 x 11 x 17.

How many factors are there for 1122?

Factors of 1122 are 1, 2, 3, 6, 11, 17, 22, 33, 34, 51, 66, 102, 187, 374, 561, 1122.
So there are in total 16 factors.

Kevin has been asked to write 15 factor(s) of 1122. Can you predict the answer?

15 factor(s) of 1122 are 1, 2, 3, 6, 11, 17, 22, 33, 34, 51, 66, 102, 187, 374, 561.

Sammy is puzzled while calculating the prime factors of 1122. Can you help him find them?

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

What is prime factorization of 1122?

Prime factorization of 1122 is 2 x 3 x 11 x 17 = 2 x 3 x 11 x 17.

Ariel has been assigned the task to find the product of all the prime factors of 1122. Can you help her?

Prime factors of 1122 are 2, 3, 11, 17.
Hence, the product of prime factors of 1122.

Can you help Rubel to find out the product of the even factors of 1122?

Factors of 1122 are 1, 2, 3, 6, 11, 17, 22, 33, 34, 51, 66, 102, 187, 374, 561, 1122.
Even factors of 1122 are 2, 6, 22, 34, 66, 102, 374, 1122.
Hence, product of even factors of 1122 is; 2 x 6 x 22 x 34 x 66 x 102 x 374 x 1122 = 25356622807296.