Is 3968 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 3968 is composite or not first we have to find its factors.
Contents
Factors of 3968:
- If we have taken numbers from 1, 2, 3…for checking factors of 3968, we found that 3968 has factors 1, 2, 4, 8, 16, 31, 32, 62, 64, 124, 128, 248, 496, 992, 1984 and 3968. Hence, we must say that 3968 is a composite number.
- Thus, 3968 is the composite number.
- If we multiply 3968 by 1, 2, 3 then we get the multiples of 3968 which are 3968, 7936 and so on.
About the number 3968:
- 3968 has more than two factors which are 1, 2, 4, 8, 16, 31, 32, 62, 64, 124, 128, 248, 496, 992, 1984 and 3968 and hence it is the composite number.
- 3968 is the even composite number and it is not the perfect square also.
- If we divide 3968 by, 1, 2, 4, 8, 16, 31, 32, 62, 64, 124, 128, 248, 496, 992, 1984 and 3968 then we get remainder as zero. Hence, 1, 2, 4, 8, 16, 31, 32, 62, 64, 124, 128, 248, 496, 992, 1984 and 3968 are the factors of 3968.
Note:
- 3968 is not the perfect square.
- Factors of 3968: 1, 2, 4, 8, 16, 31, 32, 62, 64, 124, 128, 248, 496, 992, 1984 and 3968
- Prime factors of 3968: 2, 31
Conclusion:
- 3968 is the composite number which has factors, 1, 2, 4, 8, 16, 31, 32, 62, 64, 124, 128, 248, 496, 992, 1984 and 3968
- And hence, 3968 is not the prime number.
Multiple Choice Questions:
1) 3968 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 3968 are
a) 3968
b) 2, 31
c) 4, 8, 16, 32, 62, 64, 124, 128, 248, 496, 992, 1984 and 3968
d) 1, 2, 4, 8, 16, 31, 32, 62, 64, 124, 128, 248, 496, 992, 1984 and 3968
Ans: c) 4, 8, 16, 32, 62, 64, 124, 128, 248, 496, 992, 1984 and 3968
3) 3968 is composite number because
a) It has factors 1, 2, 4, 8, 16, 31, 32, 62, 64, 124, 128, 248, 496, 992, 1984 and 3968
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b