# Factors of 1092

Factors of 1092 are 1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 52, 78, 84, 91, 156, 182, 273, 364, 546, and 1092

#### How to find factors of a number

 1.   Find factors of 1092 using Division Method 2.   Find factors of 1092 using Prime Factorization 3.   Find factors of 1092 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 1092

• Divide 1092 by 1: 1092 ÷ 1 : Remainder = 0
• Divide 1092 by 2: 1092 ÷ 2 : Remainder = 0
• Divide 1092 by 3: 1092 ÷ 3 : Remainder = 0
• Divide 1092 by 4: 1092 ÷ 4 : Remainder = 0
• Divide 1092 by 6: 1092 ÷ 6 : Remainder = 0
• Divide 1092 by 7: 1092 ÷ 7 : Remainder = 0
• Divide 1092 by 12: 1092 ÷ 12 : Remainder = 0
• Divide 1092 by 13: 1092 ÷ 13 : Remainder = 0
• Divide 1092 by 14: 1092 ÷ 14 : Remainder = 0
• Divide 1092 by 21: 1092 ÷ 21 : Remainder = 0
• Divide 1092 by 26: 1092 ÷ 26 : Remainder = 0
• Divide 1092 by 28: 1092 ÷ 28 : Remainder = 0
• Divide 1092 by 39: 1092 ÷ 39 : Remainder = 0
• Divide 1092 by 42: 1092 ÷ 42 : Remainder = 0
• Divide 1092 by 52: 1092 ÷ 52 : Remainder = 0
• Divide 1092 by 78: 1092 ÷ 78 : Remainder = 0
• Divide 1092 by 84: 1092 ÷ 84 : Remainder = 0
• Divide 1092 by 91: 1092 ÷ 91 : Remainder = 0
• Divide 1092 by 156: 1092 ÷ 156 : Remainder = 0
• Divide 1092 by 182: 1092 ÷ 182 : Remainder = 0
• Divide 1092 by 273: 1092 ÷ 273 : Remainder = 0
• Divide 1092 by 364: 1092 ÷ 364 : Remainder = 0
• Divide 1092 by 546: 1092 ÷ 546 : Remainder = 0
• Divide 1092 by 1092: 1092 ÷ 1092 : Remainder = 0

Hence, Factors of 1092 are 1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 52, 78, 84, 91, 156, 182, 273, 364, 546, and 1092

#### 2. Steps to find factors of 1092 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 1092 using the division method, follow these steps:

• Step 1. Start dividing 1092 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 1092, which is 2. Divide 1092 by 2 to obtain the quotient (546).
1092 ÷ 2 = 546
• Step 3. Repeat step 1 with the obtained quotient (546).
546 ÷ 2 = 273
273 ÷ 3 = 91
91 ÷ 7 = 13
13 ÷ 13 = 1

So, the prime factorization of 1092 is, 1092 = 2 x 2 x 3 x 7 x 13.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 1092 as shown below:

So, the prime factorization of 1092 is, 1092 = 2 x 2 x 3 x 7 x 13.

#### 3. Find factors of 1092 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 1092 would be the two numbers which, when multiplied, give 1092 as the result.

The following table represents the calculation of factors of 1092 in pairs:

Factor Pair Pair Factorization
1 and 1092 1 x 1092 = 1092
2 and 546 2 x 546 = 1092
3 and 364 3 x 364 = 1092
4 and 273 4 x 273 = 1092
6 and 182 6 x 182 = 1092
7 and 156 7 x 156 = 1092
12 and 91 12 x 91 = 1092
13 and 84 13 x 84 = 1092
14 and 78 14 x 78 = 1092
21 and 52 21 x 52 = 1092
26 and 42 26 x 42 = 1092
28 and 39 28 x 39 = 1092

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 1092. They are called negative pair factors.

Hence, the negative pairs of 1092 would be ( -1 , -1092 ) , ( -2 , -546 ) , ( -3 , -364 ) , ( -4 , -273 ) , ( -6 , -182 ) , ( -7 , -156 ) , ( -12 , -91 ) , ( -13 , -84 ) , ( -14 , -78 ) , ( -21 , -52 ) , ( -26 , -42 ) and ( -28 , -39 ) .

#### 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. 1092 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 1092.
• Every number is a factor of zero (0), since 1092 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, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 52, 78, 84, 91, 156, 182, 273, 364, 546, 1092 are exact divisors of 1092.
• Factors of 1092 are 1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 52, 78, 84, 91, 156, 182, 273, 364, 546, 1092. Each factor divides 1092 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 52, 78, 84, 91, 156, 182, 273, 364, 546, 1092 are all less than or equal to 1092.

• What are the prime factors of 1092?

The factors of 1092 are 1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 52, 78, 84, 91, 156, 182, 273, 364, 546, 1092.
Prime factors of 1092 are 2, 2, 3, 7, 13.

• What two numbers make 1092?

Two numbers that make 1092 are 2 and 546.

• What is the greatest prime factors of 1092?

The greatest prime factor of 1092 is 13.

• What are factors of 1092?

Factors of 1092 are 1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 52, 78, 84, 91, 156, 182, 273, 364, 546, 1092.

• How do you find factors of a negative number? ( eg. -1092 )?

Factors of -1092 are -1, -2, -3, -4, -6, -7, -12, -13, -14, -21, -26, -28, -39, -42, -52, -78, -84, -91, -156, -182, -273, -364, -546, -1092.

• What are five multiples of 1092?

First five multiples of 1092 are 2184, 3276, 4368, 5460, 6552.

• Write some multiples of 1092?

First five multiples of 1092 are 2184, 3276, 4368, 5460.

• Is 1092 a perfect square?

No 1092 is not a perfect square.

• What two numbers make 1092?

Two numbers that make 1092 are 2 and 546.

#### Examples of Factors

What is prime factorization of 1092?

Prime factorization of 1092 is 2 x 2 x 3 x 7 x 13 = 22 x 3 x 7 x 13.

Sammy is puzzled while calculating the prime factors of 1092. Can you help him find them?

Factors of 1092 are 1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 52, 78, 84, 91, 156, 182, 273, 364, 546, 1092.
Prime factors of 1092 are 2, 2, 3, 7, 13

Kevin has been asked to write 23 factor(s) of 1092. Can you predict the answer?

23 factor(s) of 1092 are 1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 52, 78, 84, 91, 156, 182, 273, 364, 546.

Joey wants to write all the prime factors of 1092 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 1092 are 2, 2, 3, 7, 13.
So in exponential form it can be written as 22 x 3 x 7 x 13.

How many factors are there for 1092?

Factors of 1092 are 1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 52, 78, 84, 91, 156, 182, 273, 364, 546, 1092.
So there are in total 24 factors.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 1092? Help her in writing all the factors.

Positive factors are 1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 52, 78, 84, 91, 156, 182, 273, 364, 546, 1092.
Negative factors are -1, -2, -3, -4, -6, -7, -12, -13, -14, -21, -26, -28, -39, -42, -52, -78, -84, -91, -156, -182, -273, -364, -546, -1092.

Can you help Rubel to find out the product of the even factors of 1092?

Factors of 1092 are 1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 52, 78, 84, 91, 156, 182, 273, 364, 546, 1092.
Even factors of 1092 are 2, 4, 6, 12, 14, 26, 28, 42, 52, 78, 84, 156, 182, 364, 546, 1092.
Hence, product of even factors of 1092 is; 2 x 4 x 6 x 12 x 14 x 26 x 28 x 42 x 52 x 78 x 84 x 156 x 182 x 364 x 546 x 1092 = 5.176319471929598e+26.