Is 1089 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 1089 is composite or not first we have to find its factors.
Contents
Factors of 1089:
- If we have taken numbers from 1, 2, 3…for checking factors of 1089, we found that 1089 has factors 1, 3, 9, 11, 33, 99, 121, 363 and 1089. Hence, we must say that 1089 is a composite number.
- Thus, 1089 is the composite number.
- If we multiply 1089 by 1, 2, 3 then we get the multiples of 1089 which are 1089, 2178 and so on.
1089 is a Composite number or Prime number
About the number 1089:
- 1089 has more than two factors which are 1, 3, 9, 11, 33, 99, 121, 363 and 1089 and hence it is the composite number.
- 1089 is the odd composite number and it is the perfect square also.
- If we divide 1089 by 1, 3, 9, 11, 33, 99, 121, 363 and 1089 then we get remainder as zero. Hence, 1, 3, 9, 11, 33, 99, 121, 363 and 1089 are the factors of 1089
Note:
- 1089 is the perfect square.
- Factors of 1089: 1, 3, 9, 11, 33, 99, 121, 363 and 1089
- Prime factors of 1089: 3, 11
Conclusion:
- 1089 is the composite number which has factors 1, 3, 9, 11, 33, 99, 121, 363 and 1089.
- And hence, 1089 is not the prime number.
Multiple Choice Questions:
1) 1089 is a
a) odd number
b) Prime number
c) Composite number
d) Both a and c
Ans: d) both a and c
2) The prime factors of a composite number 1089 are
a) 1
b) 3, 11
c) 1, 9, 33, 99, 121, 363 and 1089
d) 1, 3, 9, 11, 33, 99, 121, 363 and 1089
Ans: b) 3, 11
3) 1089 is the odd composite number because
a) It has factors 1, 3, 9, 11, 33, 99, 121, 363 and 1089
b) It is divisible by 2
c) It is not divisible by 2
d) Both a and c
Ans: d) both a and c