Is 2136 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 2136 is composite or not first we have to find its factors.
Contents
Factors of 2136:
- If we have taken numbers from 1, 2, 3…for checking factors of 2136, we found that 2136 has factors 1, 2, 3, 4, 6, 8, 12, 24, 89, 178, 267, 356, 534, 712, 1068 and 2136. Hence, we must say that 2136 is a composite number.
- Thus, 2136 is the composite number.
- If we multiply 2136 by 1, 2, 3 then we get the multiples of 2136 which are 2136, 4272 and so on.
About the number 2136:
- 2136 has more than two factors which are 1, 2, 3, 4, 6, 8, 12, 24, 89, 178, 267, 356, 534, 712, 1068 and 2136 and hence it is the composite number.
- 2136 is the even composite number and it is not the perfect square also.
- If we divide 2136 by, 1, 2, 3, 4, 6, 8, 12, 24, 89, 178, 267, 356, 534, 712, 1068 and 2136 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 8, 12, 24, 89, 178, 267, 356, 534, 712, 1068 and 2136 are the factors of 2136.
Note:
- 2136 is not the perfect square.
- Factors of 2136: 1, 2, 3, 4, 6, 8, 12, 24, 89, 178, 267, 356, 534, 712, 1068 and 2136
- Prime factors of 2136: 2, 3, 89
Conclusion:
- 2136 is the composite number which has factors 1, 2, 3, 4, 6, 8, 12, 24, 89, 178, 267, 356, 534, 712, 1068 and 2136
- And hence, 2136 is not the prime number.
Multiple Choice Questions:
1) 2136 is a
a) Prime number
b) Odd number
c) Composite number
d) Both a and c
Ans: c) composite number
2) The non-prime factors of a composite number 2136 are
a) 2136
b) 2, 3, 89
c) 1, 4, 6, 8, 12, 24, 178, 267, 356, 534, 712, 1068 and 2136
d) 1, 2, 3, 4, 6, 8, 12, 24, 89, 178, 267, 356, 534, 712, 1068 and 2136
Ans: c) 1, 4, 6, 8, 12, 24, 178, 267, 356, 534, 712, 1068 and 2136
3) 2136 is composite number because
a) It has factors 1, 2, 3, 4, 6, 8, 12, 24, 89, 178, 267, 356, 534, 712, 1068 and 2136
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: a) it has factors 1, 4, 6, 8, 12, 24, 178, 267, 356, 534, 712, 1068 and 2136