Is 3104 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 3104 is composite or not first we have to find its factors.
Contents
Factors of 3104:
- If we have taken numbers from 1, 2, 3…for checking factors of 3104, we found that 3104 has factors 1, 2, 4, 8, 16, 32, 97, 194, 388, 776, 1552 and 3104. Hence, we must say that 3104 is a composite number.
- Thus, 3104 is the composite number.
- If we multiply 3104 by 1, 2, 3 then we get the multiples of 3104 which are 3104, 6208 and so on.
About the number 3104:
- 3104 has more than two factors which are 1, 2, 4, 8, 16, 32, 97, 194, 388, 776, 1552 and 3104 and hence it is the composite number.
- 3104 is the even composite number and it is not the perfect square also.
- If we divide 3104 by, 1, 2, 4, 8, 16, 32, 97, 194, 388, 776, 1552 and 3104 then we get remainder as zero. Hence, 1, 2, 4, 8, 16, 32, 97, 194, 388, 776, 1552 and 3104 are the factors of 3104.
Note:
- 3104 is not the perfect square.
- Factors of 3104: 1, 2, 4, 8, 16, 32, 97, 194, 388, 776, 1552 and 3104
- Prime factors of 3104: 2, 97
Conclusion:
- 3104 is the composite number which has factors, 1, 2, 4, 8, 16, 32, 97, 194, 388, 776, 1552 and 3104
- And hence, 3104 is not the prime number.
Multiple Choice Questions:
1) 3104 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 3104 are
a) 3104
b) 2, 97
c) 4, 8, 16, 32, 194, 388, 776, 1552 and 3104
d) 1, 2, 4, 8, 16, 32, 97, 194, 388, 776, 1552 and 3104
Ans: c) 4, 8, 16, 32, 194, 388, 776, 1552 and 3104
3) 3104 is even composite number because
a) It has factors 1, 2, 4, 8, 16, 32, 97, 194, 388, 776, 1552 and 3104
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: d) both a and c