Is 3296 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 3296 is composite or not first we have to find its factors.
Contents
Factors of 3296:
- If we have taken numbers from 1, 2, 3…for checking factors of 3296, we found that 3296 has factors 1, 2, 4, 8, 16, 32, 103, 206, 412, 824, 1648 and 3296. Hence, we must say that 3296 is a composite number.
- Thus, 3296 is the composite number.
- If we multiply 3296 by 1, 2, 3 then we get the multiples of 3296 which are 3296, 6592 and so on.
About the number 3296:
- 3296 has more than two factors which are 1, 2, 4, 8, 16, 32, 103, 206, 412, 824, 1648 and 3296 and hence it is the composite number.
- 3296 is the even composite number and it is not the perfect square also.
- If we divide 3296 by, 1, 2, 4, 8, 16, 32, 103, 206, 412, 824, 1648 and 3296 then we get remainder as zero. Hence, 1, 2, 4, 8, 16, 32, 103, 206, 412, 824, 1648 and 3296 are the factors of 3296.
Note:
- 3296 is not the perfect square.
- Factors of 3296: 1, 2, 4, 8, 16, 32, 103, 206, 412, 824, 1648 and 3296
- Prime factors of 3296: 2, 103
Conclusion:
- 3296 is the composite number which has factors, 1, 2, 4, 8, 16, 32, 103, 206, 412, 824, 1648 and 3296
- And hence, 3296 is not the prime number.
Multiple Choice Questions:
1) 3296 is a
a) Prime number
b) Even number
c) Composite number
d) Both b and c
Ans: d) both b and c
2) The prime factors of a composite number 3296 are
a) 3296
b) 2, 103
c) 4, 8, 16, 32, 206, 412, 824, 1648 and 3296
d) 1, 2, 4, 8, 16, 32, 103, 206, 412, 824, 1648 and 3296
Ans: b) 2, 103
3) 3296 is composite number because
a) It has factors 1, 2, 4, 8, 16, 32, 103, 206, 412, 824, 1648 and 3296
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: a) It has factors 1, 2, 4, 8, 16, 32, 103, 206, 412, 824, 1648 and 3296