Is 2005 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 2005 is composite or not first we have to find its factors.
Contents
Factors of 2005:
- If we have taken numbers from 1, 2, 3…for checking factors of 2005, we found that 2005 has factors 1, 5, 401 and 2005. Hence, we must say that 2005 is a composite number.
- Thus, 2005 is the composite number.
- If we multiply 2005 by 1, 2, 3 then we get the multiples of 2005 which are 2005, 4010 and so on.
2005 is a Composite number or Prime number
About the number 2005:
- 2005 has more than two factors which are 1, 5, 401 and 2005 and hence it is the composite number.
- 2005 is the odd composite number and it is not the perfect square also.
- If we divide 2005 by 1, 5, 401 and 2005 then we get remainder as zero. Hence, 1, 5, 401 and 2005 are the factors of 2005
Note:
- 2005 is not the perfect square.
- Factors of 2005: 1, 5, 401 and 2005
- Prime factors of 2005: 5, 401
Conclusion:
- 2005 is the composite number which has factors 1, 5, 401 and 2005.
- And hence, 2005 is not the prime number.
Multiple Choice Questions:
1) 2005 is a
a) Even number
b) Prime number
c) Composite number
d) Both a and c
Ans: c) composite number
2) The non-prime factors of a composite number 2005 are
a) 1
b) 5, 401
c) 1 and 2005
d) 1, 5, 401 and 2005
Ans: c) 1 and 2005
3) 2005 is the odd composite number because
a) It has factors 1, 5, 401 and 2005
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all