Is 3015 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 3015 is composite or not first we have to find its factors.
Contents
Factors of 3015:
- If we have taken numbers from 1, 2, 3…for checking factors of 3015, we found that 3015 has factors 1, 3, 5, 9, 15, 45, 67, 201, 335, 603, 1005 and 3015. Hence, we must say that 3015 is a composite number.
- Thus, 3015 is the composite number.
- If we multiply 3015 by 1, 2, 3 then we get the multiples of 3015 which are 3015, 6030 and so on.
3015 is a Composite number or Prime number
About the number 3015:
- 3015 has more than two factors which are 1, 3, 5, 9, 15, 45, 67, 201, 335, 603, 1005 and 3015 and hence it is the composite number.
- 3015 is the odd composite number and it is not the perfect square also.
- If we divide 3015 by 1, 3, 5, 9, 15, 45, 67, 201, 335, 603, 1005 and 3015 then we get remainder as zero. Hence 1, 3, 5, 9, 15, 45, 67, 201, 335, 603, 1005 and 3015 are the factors of 3015
Note:
- 3015 is not the perfect square.
- Factors of 3015: 1, 3, 5, 9, 15, 45, 67, 201, 335, 603, 1005 and 3015
- Prime factors of 3015: 3, 5, 67
Conclusion:
- 3015 is the composite number which has factors 1, 3, 5, 9, 15, 45, 67, 201, 335, 603, 1005 and 3015.
- And hence, 3015 is not the prime number.
Multiple Choice Questions:
1) 3015 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 3015 are
a) 1
b) 3, 5, 67
c) 1, 3, 5, 9, 15, 45, 67, 201, 335, 603, 1005 and 3015
d) 1, 9, 15, 45, 201, 335, 603, 1005 and 3015
Ans: d) 1, 9, 15, 45, 201, 335, 603, 1005 and 3015
3) 3015 is the odd composite number because
a) It has factors 1, 3, 5, 9, 15, 45, 67, 201, 335, 603, 1005 and 3015
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all