Is 1035 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 1035 is composite or not first we have to find its factors.
Contents
Factors of 1035:
- If we have taken numbers from 1, 2, 3…for checking factors of 1035, we found that 1035 has factors 1, 3, 5, 9, 15, 23, 45, 69, 115, 207, 345 and 1035. Hence, we must say that 1035 is a composite number.
- Thus, 1035 is the composite number.
- If we multiply 1035 by 1, 2, 3 then we get the multiples of 1035 which are 1035, 2070 and so on.
1035 is a Composite number or Prime number
About the number 1035:
- 1035 has more than two factors which are 1, 3, 5, 9, 15, 23, 45, 69, 115, 207, 345 and 1035 and hence it is the composite number.
- 1035 is the odd composite number and it is not the perfect square also.
- If we divide 1035 by 1, 3, 5, 9, 15, 23, 45, 69, 115, 207, 345 and 1035 then we get remainder as zero. Hence, 1, 3, 5, 9, 15, 23, 45, 69, 115, 207, 345 and 1035 are the factors of 1035
Note:
- 1035 is not the perfect square.
- Factors of 1035: 1, 3, 5, 9, 15, 23, 45, 69, 115, 207, 345 and 1035
- Prime factors of 1035: 3, 5, 23
Conclusion:
- 1035 is the composite number which has factors 1, 3, 5, 9, 15, 23, 45, 69, 115, 207, 345 and 1035.
- And hence, 1035 is not the prime number.
Multiple Choice Questions:
1) 1035 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 1035 are
a) 1
b) 3, 5, 23
c) 1, 9, 15, 45, 69, 115, 207, 345 and 1035
d) 1, 3, 5, 9, 15, 23, 45, 69, 115, 207, 345 and 1035
Ans: b) 3, 5, 23
3) 1035 is the odd composite number because
a) It has factors 1, 3, 5, 9, 15, 23, 45, 69, 115, 207, 345 and 1035
b) It is divisible by 2
c) It is not divisible by 2
d) Both a and c
Ans: d) both a and c