Is 4096 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 4096 is composite or not first we have to find its factors.
Contents
Factors of 4096:
- If we have taken numbers from 1, 2, 3…for checking factors of 4096 we found that 4096 has factors 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048 and 4096. Hence, we must say that 4096 is a composite number.
- Thus, 4096 is the composite number.
- If we multiply 4096 by 1, 2, 3 then we get the multiples of 4096 which are 4096, 8192 and so on.
About the number 4096:
- 4096 has more than two factors which are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048 and 4096 and hence it is the composite number.
- 4096 is the even composite number and it is the perfect square also.
- If we divide 4096 by, 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048 and 4096 then we get remainder as zero. Hence, 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048 and 4096 are the factors of 4096.
Note:
- 4096 is the perfect square.
- Factors of 4096: 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048 and 4096
- Prime factors of 4096: 2, 2
Conclusion:
- 4096 is the composite number which has factors, 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048 and 4096
- And hence, 4096 is not the prime number.
Multiple Choice Questions:
1) 4096 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 4096 are
a) 4096
b) 2
c) 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048 and 4096
d) 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048 and 4096
Ans: c) 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048 and 4096
3) 4096 is composite number because
a) It has factors 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048 and 4096
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b