Is 4016 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 4016 is composite or not first we have to find its factors.
Contents
Factors of 4016:
- If we have taken numbers from 1, 2, 3…for checking factors of 4016 we found that 4016 has factors 1, 2, 4, 8, 16, 251, 502, 1004, 2008 and 4016. Hence, we must say that 4016 is a composite number.
- Thus, 4016 is the composite number.
- If we multiply 4016 by 1, 2, 3 then we get the multiples of 4016 which are 4016, 8032 and so on.
About the number 4016:
- 4016 has more than two factors which are 1, 2, 4, 8, 16, 251, 502, 1004, 2008 and 4016 and hence it is the composite number.
- 4016 is the even composite number and it is not the perfect square also.
- If we divide 4016 by, 1, 2, 4, 8, 16, 251, 502, 1004, 2008 and 4016 then we get remainder as zero. Hence, 1, 2, 4, 8, 16, 251, 502, 1004, 2008 and 4016 are the factors of 4016.
Note:
- 4016 is not the perfect square.
- Factors of 4016: 1, 2, 4, 8, 16, 251, 502, 1004, 2008 and 4016
- Prime factors of 4016: 2, 251
Conclusion:
- 4016 is the composite number which has factors, 1, 2, 4, 8, 16, 251, 502, 1004, 2008 and 4016
- And hence, 4016 is not the prime number.
Multiple Choice Questions:
1) 4016 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 4016 are
a) 4016
b) 2, 251
c) 4, 8, 16, 502, 1004, 2008 and 4016
d) 1, 2, 4, 8, 16, 251, 502, 1004, 2008 and 4016
Ans: c) 4, 8, 16, 502, 1004, 2008 and 4016
3) 4016 is composite number because
a) It has factors 1, 2, 4, 8, 16, 251, 502, 1004, 2008 and 4016
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b