Is 4006 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 4006 is composite or not first we have to find its factors.
Contents
Factors of 4006:
- If we have taken numbers from 1, 2, 3…for checking factors of 4006, we found that 4006 has factors 1, 2, 2003 and 4006. Hence, we must say that 4006 is a composite number.
- Thus, 4006 is the composite number.
- If we multiply 4006 by 1, 2, 3 then we get the multiples of 4006 which are 4006, 8012 and so on.
About the number 4006:
- 4006 has more than two factors which are 1, 2, 2003 and 4006 and hence it is the composite number.
- 4006 is the even composite number and it is not the perfect square also.
- If we divide 4006 by, 1, 2, 2003 and 4006 then we get remainder as zero. Hence, 1, 2, 2003 and 4006 are the factors of 4006.
Note:
- 4006 is not the perfect square.
- Factors of 4006: 1, 2, 2003 and 4006
- Prime factors of 4006: 2, 2003
Conclusion:
- 4006 is the composite number which has factors, 1, 2, 2003 and 4006
- And hence, 4006 is not the prime number.
Multiple Choice Questions:
1) 4006 is a
a) Prime number
b) Even number
c) Composite number
d) Both b and c
Ans: d) both b and c
2) The composite factors of a composite number 4006 are
a) 4006
b) 2, 2003
c) 4006
d) 1, 2, 2003 and 4006
Ans: c) 4006
3) 4006 is composite number because
a) It has factors 1, 2, 2003 and 4006
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b