Factors of 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:

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.

Frequently Asked Questions

• 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