# Factors of 1188

Factors of 1188 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 99, 108, 132, 198, 297, 396, 594, and 1188

#### How to find factors of a number

 1.   Find factors of 1188 using Division Method 2.   Find factors of 1188 using Prime Factorization 3.   Find factors of 1188 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 1188

• Divide 1188 by 1: 1188 ÷ 1 : Remainder = 0
• Divide 1188 by 2: 1188 ÷ 2 : Remainder = 0
• Divide 1188 by 3: 1188 ÷ 3 : Remainder = 0
• Divide 1188 by 4: 1188 ÷ 4 : Remainder = 0
• Divide 1188 by 6: 1188 ÷ 6 : Remainder = 0
• Divide 1188 by 9: 1188 ÷ 9 : Remainder = 0
• Divide 1188 by 11: 1188 ÷ 11 : Remainder = 0
• Divide 1188 by 12: 1188 ÷ 12 : Remainder = 0
• Divide 1188 by 18: 1188 ÷ 18 : Remainder = 0
• Divide 1188 by 22: 1188 ÷ 22 : Remainder = 0
• Divide 1188 by 27: 1188 ÷ 27 : Remainder = 0
• Divide 1188 by 33: 1188 ÷ 33 : Remainder = 0
• Divide 1188 by 36: 1188 ÷ 36 : Remainder = 0
• Divide 1188 by 44: 1188 ÷ 44 : Remainder = 0
• Divide 1188 by 54: 1188 ÷ 54 : Remainder = 0
• Divide 1188 by 66: 1188 ÷ 66 : Remainder = 0
• Divide 1188 by 99: 1188 ÷ 99 : Remainder = 0
• Divide 1188 by 108: 1188 ÷ 108 : Remainder = 0
• Divide 1188 by 132: 1188 ÷ 132 : Remainder = 0
• Divide 1188 by 198: 1188 ÷ 198 : Remainder = 0
• Divide 1188 by 297: 1188 ÷ 297 : Remainder = 0
• Divide 1188 by 396: 1188 ÷ 396 : Remainder = 0
• Divide 1188 by 594: 1188 ÷ 594 : Remainder = 0
• Divide 1188 by 1188: 1188 ÷ 1188 : Remainder = 0

Hence, Factors of 1188 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 99, 108, 132, 198, 297, 396, 594, and 1188

#### 2. Steps to find factors of 1188 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 1188 using the division method, follow these steps:

• Step 1. Start dividing 1188 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 1188, which is 2. Divide 1188 by 2 to obtain the quotient (594).
1188 ÷ 2 = 594
• Step 3. Repeat step 1 with the obtained quotient (594).
594 ÷ 2 = 297
297 ÷ 3 = 99
99 ÷ 3 = 33
33 ÷ 3 = 11
11 ÷ 11 = 1

So, the prime factorization of 1188 is, 1188 = 2 x 2 x 3 x 3 x 3 x 11.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 1188 as shown below:

So, the prime factorization of 1188 is, 1188 = 2 x 2 x 3 x 3 x 3 x 11.

#### 3. Find factors of 1188 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 1188 would be the two numbers which, when multiplied, give 1188 as the result.

The following table represents the calculation of factors of 1188 in pairs:

Factor Pair Pair Factorization
1 and 1188 1 x 1188 = 1188
2 and 594 2 x 594 = 1188
3 and 396 3 x 396 = 1188
4 and 297 4 x 297 = 1188
6 and 198 6 x 198 = 1188
9 and 132 9 x 132 = 1188
11 and 108 11 x 108 = 1188
12 and 99 12 x 99 = 1188
18 and 66 18 x 66 = 1188
22 and 54 22 x 54 = 1188
27 and 44 27 x 44 = 1188
33 and 36 33 x 36 = 1188

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 1188. They are called negative pair factors.

Hence, the negative pairs of 1188 would be ( -1 , -1188 ) , ( -2 , -594 ) , ( -3 , -396 ) , ( -4 , -297 ) , ( -6 , -198 ) , ( -9 , -132 ) , ( -11 , -108 ) , ( -12 , -99 ) , ( -18 , -66 ) , ( -22 , -54 ) , ( -27 , -44 ) and ( -33 , -36 ) .

#### What is the definition of factors?

In mathematics, factors are number, algebraic expressions which when multiplied together produce desired product. A factor of a number can be positive or negative.

#### Properties of factors

• Each number is a factor of itself. Eg. 1188 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 1188.
• Every number is a factor of zero (0), since 1188 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, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 99, 108, 132, 198, 297, 396, 594, 1188 are exact divisors of 1188.
• Factors of 1188 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 99, 108, 132, 198, 297, 396, 594, 1188. Each factor divides 1188 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 99, 108, 132, 198, 297, 396, 594, 1188 are all less than or equal to 1188.

• Which is the smallest prime factor of 1188?

Smallest prime factor of 1188 is 2.

• Is 1188 a perfect square?

No 1188 is not a perfect square.

• What are five multiples of 1188?

First five multiples of 1188 are 2376, 3564, 4752, 5940, 7128.

• What is prime factorization of 1188?

Prime factorization of 1188 is 2 x 2 x 3 x 3 x 3 x 11.

• What are factors of 1188?

Factors of 1188 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 99, 108, 132, 198, 297, 396, 594, 1188.

• How do you find factors of a negative number? ( eg. -1188 )?

Factors of -1188 are -1, -2, -3, -4, -6, -9, -11, -12, -18, -22, -27, -33, -36, -44, -54, -66, -99, -108, -132, -198, -297, -396, -594, -1188.

• Is 1188 a whole number?

Yes 1188 is a whole number.

• Which is greatest factor of 1188?

The greatest factor of 1188 is 594.

• What are the prime factors of 1188?

The factors of 1188 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 99, 108, 132, 198, 297, 396, 594, 1188.
Prime factors of 1188 are 2, 2, 3, 3, 3, 11.

#### Examples of Factors

Ariel has been assigned the task to find the product of all the prime factors of 1188. Can you help her?

Prime factors of 1188 are 2, 2, 3, 3, 3, 11.
Hence, the product of prime factors of 66.

Can you help Rubel to find out the product of the even factors of 1188?

Factors of 1188 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 99, 108, 132, 198, 297, 396, 594, 1188.
Even factors of 1188 are 2, 4, 6, 12, 18, 22, 36, 44, 54, 66, 108, 132, 198, 396, 594, 1188.
Hence, product of even factors of 1188 is; 2 x 4 x 6 x 12 x 18 x 22 x 36 x 44 x 54 x 66 x 108 x 132 x 198 x 396 x 594 x 1188 = 1.0157141214339043e+27.

Joy wants to calculate mean of all the factors of 1188. Help him in finding the mean of 1188.

Factors of 1188 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 99, 108, 132, 198, 297, 396, 594, 1188.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 1188 is 1 + 2 + 3 + 4 + 6 + 9 + 11 + 12 + 18 + 22 + 27 + 33 + 36 + 44 + 54 + 66 + 99 + 108 + 132 + 198 + 297 + 396 + 594 + 1188 = 3360.
Hence, the mean of factors of 1188 is 3360 ÷ 24 = 140.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 1188? Help her in writing all the factors.

Positive factors are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 99, 108, 132, 198, 297, 396, 594, 1188.
Negative factors are -1, -2, -3, -4, -6, -9, -11, -12, -18, -22, -27, -33, -36, -44, -54, -66, -99, -108, -132, -198, -297, -396, -594, -1188.

How many factors are there for 1188?

Factors of 1188 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 99, 108, 132, 198, 297, 396, 594, 1188.
So there are in total 24 factors.

Joey wants to write all the prime factors of 1188 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 1188 are 2, 2, 3, 3, 3, 11.
So in exponential form it can be written as 22 x 33 x 11.

Kevin has been asked to write 23 factor(s) of 1188. Can you predict the answer?

23 factor(s) of 1188 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 99, 108, 132, 198, 297, 396, 594.