Is 1116 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 1116 is composite or not first we have to find its factors.
Contents
Factors of 1116:
- If we have taken numbers from 1, 2, 3…for checking factors of 1116, we found that 1116 has factors 1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 62, 93, 124, 186, 279, 372, 558 and 1116. Hence, we must say that 1116 is a composite number.
- Thus, 1116 is the composite number.
- If we multiply 1116 by 1, 2, 3 then we get the multiples of 1116 which are 1116, 2232 and so on.
About the number 1116:
- 1116 has more than two factors which are 1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 62, 93, 124, 186, 279, 372, 558 and 1116 and hence it is the composite number.
- 1116 is the even composite number and it is not the perfect square also.
- If we divide 1116 by 1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 62, 93, 124, 186, 279, 372, 558 and 1116 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 62, 93, 124, 186, 279, 372, 558 and 1116 are the factors of 1116.
Note:
- 1116 is not the perfect square.
- Factors of 1116: 1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 62, 93, 124, 186, 279, 372, 558 and 1116
- Prime factors of 1116: 2, 3, 31
Conclusion:
- 1116 is the composite number which has factors 1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 62, 93, 124, 186, 279, 372, 558 and 1116
- And hence, 1116 is not the prime number.
Multiple Choice Questions:
1) 1116 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 1116 are
a) 4, 6, 9, 12, 18, 36, 62, 93, 124, 186, 279, 372, 558 and 1116
b) 2, 3, 31
c) 1, 4, 6, 9, 12, 18, 36, 62, 93, 124, 186, 279, 372, 558 and 1116
d) 1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 62, 93, 124, 186, 279, 372, 558 and 1116
Ans: a) 4, 6, 9, 12, 18, 36, 62, 93, 124, 186, 279, 372, 558 and 1116
3) 1116 is composite number because
a) It has factors 1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 62, 93, 124, 186, 279, 372, 558 and 1116
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b