Is 1134 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 1134 is composite or not first we have to find its factors.
Contents
Factors of 1134:
- If we have taken numbers from 1, 2, 3…for checking factors of 1134, we found that 1134 has factors 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 81, 126, 162, 189, 378, 567 and 1134. Hence, we must say that 1134 is a composite number.
- Thus, 1134 is the composite number.
- If we multiply 1134 by 1, 2, 3 then we get the multiples of 1134 which are 1134, 2268 and so on.
About the number 1134:
- 1134 has more than two factors which are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 81, 126, 162, 189, 378, 567 and 1134 and hence it is the composite number.
- 1134 is the even composite number and it is not the perfect square also.
- If we divide 1134 by 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 81, 126, 162, 189, 378, 567 and 1134 then we get remainder as zero. Hence, 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 81, 126, 162, 189, 378, 567 and 1134 are the factors of 1134.
Note:
- 1134 is not the perfect square.
- Factors of 1134: 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 81, 126, 162, 189, 378, 567 and 1134
- Prime factors of 1134: 2, 3, 7
Conclusion:
- 1134 is the composite number which has factors 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 81, 126, 162, 189, 378, 567 and 1134
- And hence, 1134 is not the prime number.
Multiple Choice Questions:
1) 1134 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 1134 are
a) 6, 9, 14, 18, 21, 27, 42, 54, 63, 81, 126, 162, 189, 378, 567 and 1134
b) 2, 3, 7
c) 1, 6, 9, 14, 18, 21, 27, 42, 54, 63, 81, 126, 162, 189, 378, 567 and 1134
d) 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 81, 126, 162, 189, 378, 567 and 1134
Ans: a) 6, 9, 14, 18, 21, 27, 42, 54, 63, 81, 126, 162, 189, 378, 567 and 1134
3) 1134 is composite number because
a) It has factors 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 81, 126, 162, 189, 378, 567 and 1134
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b