Factors of 1188
Factors of 1188 are the list of integers that we can split evenly into 1188. It has total 24 factors of which 1188 is the biggest factor and the prime factors of 1188 are 2, 3, 11. The sum of all factors of 1188 is 3360.
- All Factors of 1188: 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
- Prime Factors of 1188: 2, 3, 11
- Prime Factorization of 1188: 22 × 33 × 111
- Sum of Factors of 1188: 3360
1. | What Are the Factors of 1188? |
2. | Factors of 1188 by Prime Factorization |
3. | Factors of 1188 in Pairs |
4. | FAQs on Factors of 1188 |
What are Factors of 1188?
Factors of 1188 are pairs of those numbers whose products result in 1188. These factors are either prime numbers or composite numbers.
How to Find the Factors of 1188?
To find the factors of 1188, we will have to find the list of numbers that would divide 1188 without leaving any remainder.
- 1188/66 = 18; therefore, 66 is a factor of 1188 and 18 is also a factor of 1188.
- 1188/9 = 132; therefore, 9 is a factor of 1188 and 132 is also a factor of 1188.
☛ Also Check:
- Factors of 16 - The factors of 16 are 1, 2, 4, 8, 16
- Factors of 144 - The factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
- Factors of 90 - The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
- Factors of 39 - The factors of 39 are 1, 3, 13, 39
- Factors of 27 - The factors of 27 are 1, 3, 9, 27
Factors of 1188 by Prime Factorization
- 1188 ÷ 2 = 594
- 594 ÷ 2 = 297
Further dividing 297 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 297 by the next smallest prime factor. We stop ultimately if the next prime factor doesn't exist or when we can't divide any further.
So, the prime factorization of 1188 can be written as 22 × 33 × 111 where 2, 3, 11 are prime.
Factors of 1188 in Pairs
Pair factors of 1188 are the pairs of numbers that when multiplied give the product 1188. The factors of 1188 in pairs are:
- 1 × 1188 = (1, 1188)
- 2 × 594 = (2, 594)
- 3 × 396 = (3, 396)
- 4 × 297 = (4, 297)
- 6 × 198 = (6, 198)
- 9 × 132 = (9, 132)
- 11 × 108 = (11, 108)
- 12 × 99 = (12, 99)
- 18 × 66 = (18, 66)
- 22 × 54 = (22, 54)
- 27 × 44 = (27, 44)
- 33 × 36 = (33, 36)
Negative pair factors of 1188 are:
- -1 × -1188 = (-1, -1188)
- -2 × -594 = (-2, -594)
- -3 × -396 = (-3, -396)
- -4 × -297 = (-4, -297)
- -6 × -198 = (-6, -198)
- -9 × -132 = (-9, -132)
- -11 × -108 = (-11, -108)
- -12 × -99 = (-12, -99)
- -18 × -66 = (-18, -66)
- -22 × -54 = (-22, -54)
- -27 × -44 = (-27, -44)
- -33 × -36 = (-33, -36)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 1188 Solved Examples
-
Example 1: How many factors are there for 1188?
Solution:
The factors of 1188 are too many, therefore if we can find the prime factorization of 1188, then the total number of factors can be calculated using the formula shown below.
If the prime factorization of the number is ax × by × cz where a, b, c are prime, then the total number of factors can be given by (x + 1)(y + 1)(z + 1).
Prime Factorization of 1188 = 22 × 33 × 111
Therefore, the total number of factors are (2 + 1) × (3 + 1) × (1 + 1) = 3 × 4 × 2 = 24 -
Example 2: Find the Least Common Multiple (LCM) and Greatest Common Divisor (GCD) of 1188 and 1068.
Solution:
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 and factors of 1068 are 1, 2, 3, 4, 6, 12, 89, 178, 267, 356, 534, 1068.
Therefore, the Least Common Multiple (LCM) of 1188 and 1068 is 105732 and Greatest Common Divisor (GCD) of 1188 and 1068 is 12. -
Example 3: Find if 1, 4, 18, 54, 108, 198, 236 and 1188 are factors of 1188.
Solution:
When we divide 1188 by 236 it leaves a remainder. Therefore, the number 236 is not a factor of 1188. All numbers except 236 are factors of 1188.
-
Example 4: Find the product of all the prime factors of 1188.
Solution:
Since, the prime factors of 1188 are 2, 3, 11. Therefore, the product of prime factors = 2 × 3 × 11 = 66.
FAQs on Factors of 1188
What are the 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 and its 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.
What is the Sum of the Factors of 1188?
Sum of all factors of 1188 = (22 + 1 - 1)/(2 - 1) × (33 + 1 - 1)/(3 - 1) × (111 + 1 - 1)/(11 - 1) = 3360
What are the Prime Factors of 1188?
The prime factors of 1188 are 2, 3, 11.
What is the Greatest Common Factor of 1188 and 1105?
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 and the factors of 1105 are 1, 5, 13, 17, 65, 85, 221, 1105. 1188 and 1105 have only one common factor which is 1. This implies that 1188 and 1105 are co-prime.
Hence, the Greatest Common Factor (GCF) of 1188 and 1105 is 1.
How Many Factors of 1188 are also common to the Factors of 1159?
Since, 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 and factors of 1159 are 1, 19, 61, 1159. Hence, 1188 and 1159 have only one common factor which is 1. Therefore, 1188 and 1159 are co-prime.
visual curriculum