Is 4148 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 4148 is composite or not first we have to find its factors.
Contents
Factors of 4148:
- If we have taken numbers from 1, 2, 3…for checking factors of 4148 we found that 4148 has factors 1, 2, 4, 17, 34, 61, 68, 122, 244, 1037, 2074 and 4148. Hence, we must say that 4148 is a composite number.
- Thus, 4148 is the composite number.
- If we multiply 4148 by 1, 2, 3 then we get the multiples of 4148 which are 4148, 8296 and so on.
About the number 4148:
- 4148 has more than two factors which are 1, 2, 4, 17, 34, 61, 68, 122, 244, 1037, 2074 and 4148 and hence it is the composite number.
- 4148 is the even composite number and it is not the perfect square also.
- If we divide 4148 by, 1, 2, 4, 17, 34, 61, 68, 122, 244, 1037, 2074 and 4148 then we get remainder as zero. Hence, 1, 2, 4, 17, 34, 61, 68, 122, 244, 1037, 2074 and 4148 are the factors of 4148.
Note:
- 4148 is not the perfect square.
- Factors of 4148: 1, 2, 4, 17, 34, 61, 68, 122, 244, 1037, 2074 and 4148
- Prime factors of 4148: 2, 17, 61
Conclusion:
- 4148 is the composite number which has factors, 1, 2, 4, 17, 34, 61, 68, 122, 244, 1037, 2074 and 4148
- And hence, 4148 is not the prime number.
Multiple Choice Questions:
1) 4148 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 4148 are
a) 4148
b) 2, 17, 61
c) 4, 34, 68, 122, 244, 1037, 2074 and 4148
d) 1, 2, 4, 17, 34, 61, 68, 122, 244, 1037, 2074 and 4148
Ans: c) 4, 34, 68, 122, 244, 1037, 2074 and 4148
3) 4148 is composite number because
a) It has factors 1, 2, 4, 17, 34, 61, 68, 122, 244, 1037, 2074 and 4148
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b