Is 3006 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 3006 is composite or not first we have to find its factors.
Contents
Factors of 3006:
- If we have taken numbers from 1, 2, 3…for checking factors of 3006, we found that 3006 has factors 1, 2, 3, 6, 9, 18, 167, 334, 501, 1002, 1503 and 3006. Hence, we must say that 3006 is a composite number.
- Thus, 3006 is the composite number.
- If we multiply 3006 by 1, 2, 3 then we get the multiples of 3006 which are 3006, 6012 and so on.
About the number 3006:
- 3006 has more than two factors which are 1, 2, 3, 6, 9, 18, 167, 334, 501, 1002, 1503 and 3006 and hence it is the composite number.
- 3006 is the even composite number and it is not the perfect square also.
- If we divide 3006 by, 1, 2, 3, 6, 9, 18, 167, 334, 501, 1002, 1503 and 3006 then we get remainder as zero. Hence, 1, 2, 3, 6, 9, 18, 167, 334, 501, 1002, 1503 and 3006 are the factors of 3006.
Note:
- 3006 is not the perfect square.
- Factors of 3006: 1, 2, 3, 6, 9, 18, 167, 334, 501, 1002, 1503 and 3006
- Prime factors of 3006: 2, 3, 167
Conclusion:
- 3006 is the composite number which has factors, 1, 2, 3, 6, 9, 18, 167, 334, 501, 1002, 1503 and 3006
- And hence, 3006 is not the prime number.
Multiple Choice Questions:
1) 3006 is a
a) Prime number
b) Odd number
c) Composite number
d) Both a and c
Ans: c) composite number
2) The composite factors of a composite number 3006 are
a) 3006
b) 2, 3, 167
c) 6, 9, 18, 334, 501, 1002, 1503 and 3006
d) 1, 2, 3, 6, 9, 18, 167, 334, 501, 1002, 1503 and 3006
Ans: c) 6, 9, 18, 334, 501, 1002, 1503 and 3006
3) 3006 is even composite number because
a) It has factors 1, 2, 3, 6, 9, 18, 167, 334, 501, 1002, 1503 and 3006
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: d) both a and c