Is 3952 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 3952 is composite or not first we have to find its factors.
Contents
Factors of 3952:
- If we have taken numbers from 1, 2, 3…for checking factors of 3952, we found that 3952 has factors 1, 2, 4, 8, 13, 16, 19, 26, 38, 52, 76, 104, 152, 208, 247, 304, 494, 988, 1976 and 3952. Hence, we must say that 3952 is a composite number.
- Thus, 3952 is the composite number.
- If we multiply 3952 by 1, 2, 3 then we get the multiples of 3952 which are 3952, 7904 and so on.
About the number 3952:
- 3952 has more than two factors which are 1, 2, 4, 8, 13, 16, 19, 26, 38, 52, 76, 104, 152, 208, 247, 304, 494, 988, 1976 and 3952 and hence it is the composite number.
- 3952 is the even composite number and it is not the perfect square also.
- If we divide 3952 by, 1, 2, 4, 8, 13, 16, 19, 26, 38, 52, 76, 104, 152, 208, 247, 304, 494, 988, 1976 and 3952 then we get remainder as zero. Hence, 1, 2, 4, 8, 13, 16, 19, 26, 38, 52, 76, 104, 152, 208, 247, 304, 494, 988, 1976 and 3952 are the factors of 3952.
Note:
- 3952 is not the perfect square.
- Factors of 3952: 1, 2, 4, 8, 13, 16, 19, 26, 38, 52, 76, 104, 152, 208, 247, 304, 494, 988, 1976 and 3952
- Prime factors of 3952: 2, 13, 19
Conclusion:
- 3952 is the composite number which has factors, 1, 2, 4, 8, 13, 16, 19, 26, 38, 52, 76, 104, 152, 208, 247, 304, 494, 988, 1976 and 3952
- And hence, 3952 is not the prime number.
Multiple Choice Questions:
1) 3952 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 3952 are
a) 3952
b) 2, 13, 19
c) 4, 8, 16, 26, 38, 52, 76, 104, 152, 208, 247, 304, 494, 988, 1976 and 3952
d) 1, 2, 4, 8, 13, 16, 19, 26, 38, 52, 76, 104, 152, 208, 247, 304, 494, 988, 1976 and 3952
Ans: c) 4, 8, 16, 26, 38, 52, 76, 104, 152, 208, 247, 304, 494, 988, 1976 and 3952
3) 3952 is composite number because
a) It has factors 1, 2, 4, 8, 13, 16, 19, 26, 38, 52, 76, 104, 152, 208, 247, 304, 494, 988, 1976 and 3952
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b