Is 1005 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 1005 is composite or not first we have to find its factors.
Contents
Factors of 1005:
- If we have taken numbers from 1, 2, 3…for checking factors of 1005, we found that 1005 has factors 1, 3, 5, 15, 67, 201, 335 and 1005. Hence, we must say that 1005 is a composite number.
- Thus, 1005 is the composite number.
- If we multiply 1005 by 1, 2, 3 then we get the multiples of 1005 which are 1005, 2010 and so on.
1005 is a Composite number or Prime number
About the number 1005:
- 1005 has more than two factors which are 1, 3, 5, 15, 67, 201, 335 and 1005 and hence it is the composite number.
- 1005 is the odd composite number and it is not the perfect square also.
- If we divide 1005 by 1, 3, 5, 15, 67, 201, 335 and 1005 then we get remainder as zero. Hence, 1, 3, 5, 15, 67, 201, 335 and 1005 are the factors of 1005
Note:
- 1005 is not the perfect square.
- Factors of 1005: 1, 3, 5, 15, 67, 201, 335 and 1005
- Prime factors of 1005: 3, 5, 67
Conclusion:
- 1005 is the composite number which has factors 1, 3, 5, 15, 67, 201, 335 and 1005.
- And hence, 1005 is not the prime number.
Multiple Choice Questions:
1) 1005 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 1005 are
a) 1
b) 3, 5, 67
c) 1, 15, 201, 335 and 1005
d) 1, 3, 5, 15, 67, 201, 335 and 1005
Ans: b) 3, 5, 67
3) 1005 is the odd composite number because
a) It has factors 1, 3, 5, 15, 67, 201, 335 and 1005
b) It is divisible by 2
c) It is not divisible by 2
d) Both a and c
Ans: d) both a and c