Is 3005 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 3005 is composite or not first we have to find its factors.
Contents
Factors of 3005:
- If we have taken numbers from 1, 2, 3…for checking factors of 3005, we found that 3005 has factors 1, 5, 601 and 3005. Hence, we must say that 3005 is a composite number.
- Thus, 3005 is the composite number.
- If we multiply 3005 by 1, 2, 3 then we get the multiples of 3005 which are 3005, 6010 and so on.
3005 is a Composite number or Prime number
About the number 3005:
- 3005 has more than two factors which are 1, 5, 601 and 3005 and hence it is the composite number.
- 3005 is the odd composite number and it is not the perfect square also.
- If we divide 3005 by 1, 5, 601 and 3005 then we get remainder as zero. Hence 1, 5, 601 and 3005 are the factors of 3005
Note:
- 3005 is not the perfect square.
- Factors of 3005: 1, 5, 601 and 3005
- Prime factors of 3005: 5, 601
Conclusion:
- 3005 is the composite number which has factors 1, 5, 601 and 3005.
- And hence, 3005 is not the prime number.
Multiple Choice Questions:
1) 3005 is a
a) odd number
b) Prime number
c) even number
d) Both a and c
Ans: a) odd number
2) The non-prime factors of a composite number 3005 are
a) 1
b) 5, 601
c) 1, 5, 601 and 3005
d) 1 and 3005
Ans: d) 1 and 3005
3) 3005 is the odd composite number because
a) It has factors 1, 5, 601 and 3005
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all