Is 1071 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 1071 is composite or not first we have to find its factors.
Contents
Factors of 1071:
- If we have taken numbers from 1, 2, 3…for checking factors of 1071, we found that 1071 has factors 1, 3, 7, 9, 17, 21, 51, 63, 119, 153, 357 and 1071. Hence, we must say that 1071 is a composite number.
- Thus, 1071 is the composite number.
- If we multiply 1071 by 1, 2, 3 then we get the multiples of 1071 which are 1071, 2142 and so on.
1071 is a Composite number or Prime number
About the number 1071:
- 1071 has more than two factors which are 1, 3, 7, 9, 17, 21, 51, 63, 119, 153, 357 and 1071 and hence it is the composite number.
- 1071 is the odd composite number and it is not the perfect square also.
- If we divide 1071 by 1, 3, 7, 9, 17, 21, 51, 63, 119, 153, 357 and 1071 then we get remainder as zero. Hence, 1, 3, 7, 9, 17, 21, 51, 63, 119, 153, 357 and 1071 are the factors of 1071
Note:
- 1071 is not the perfect square.
- Factors of 1071: 1, 3, 7, 9, 17, 21, 51, 63, 119, 153, 357 and 1071
- Prime factors of 1071: 3, 7, 17
Conclusion:
- 1071 is the composite number which has factors 1, 3, 7, 9, 17, 21, 51, 63, 119, 153, 357 and 1071.
- And hence, 1071 is not the prime number.
Multiple Choice Questions:
1) 1071 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 1071 are
a) 1
b) 3, 7, 17
c) 1, 9, 21, 51, 63, 119, 153, 357 and 1071
d) 1, 3, 7, 9, 17, 21, 51, 63, 119, 153, 357 and 1071
Ans: b) 3, 7, 17
3) 1071 is the odd composite number because
a) It has factors 1, 3, 7, 9, 17, 21, 51, 63, 119, 153, 357 and 1071
b) It is divisible by 2
c) It is not divisible by 2
d) Both a and c
Ans: d) both a and c