Is 1188 is a composite number or not ?
- As we already know that, the number having factors 1 and the number itself is the prime number.
- And numbers having more than these two factors are the composite numbers.
- To check whether the number 1188 is composite or not first we have to find its factors.
Factors of 1188:
- If we have taken numbers from 1, 2, 3…for checking factors of 1188, we found that 1188 has factors 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. Hence, we must say that 1188 is a composite number.
- Thus, 1188 is the composite number.
- If we multiply 1188 by 1, 2, 3 then we get the multiples of 1188 which are 1188, 2376 and so on.
About the number 1188:
- 1188 has more than two factors which 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 and hence it is the composite number.
- 1188 is the even composite number and it is not the perfect square also.
- If we divide 1188 by 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 then we get remainder as zero. Hence, 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 are the factors of 1188.
Note:
- 1188 is not the perfect square.
- 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
Conclusion:
- 1188 is the composite number which has factors 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
- And hence, 1188 is not the prime number.
Multiple Choice Questions:
1) 1188 is a
a) Even number
b) Not a perfect square number
c) Composite number
d) all
Ans: d) all
2) The composite factors of a composite number 1188 are
a) 4, 6, 9, 12, 18, 22, 27, 33, 36, 44, 54, 66, 99, 108, 132, 198, 297, 396, 594 and 1188
b) 2, 3, 11
c) 1, 4, 6, 9,12, 18, 22, 27, 33, 36, 44, 54, 66, 99, 108, 132, 198, 297, 396, 594 and 1188
d) 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
Ans: a) 4, 6, 9, 12, 18, 22, 27, 33, 36, 44, 54, 66, 99, 108, 132, 198, 297, 396, 594 and 1188
3) 1188 is composite number because
a) It has factors 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
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b