Is 3976 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 3976 is composite or not first we have to find its factors.
Contents
Factors of 3976:
- If we have taken numbers from 1, 2, 3…for checking factors of 3976, we found that 3976 has factors 1, 2, 4, 7, 8, 14, 28, 56, 71, 142, 284, 497, 568, 994, 1988 and 3976. Hence, we must say that 3976 is a composite number.
- Thus, 3976 is the composite number.
- If we multiply 3976 by 1, 2, 3 then we get the multiples of 3976 which are 3976, 7952 and so on.
About the number 3976:
- 3976 has more than two factors which are 1, 2, 4, 7, 8, 14, 28, 56, 71, 142, 284, 497, 568, 994, 1988 and 3976 and hence it is the composite number.
- 3976 is the even composite number and it is not the perfect square also.
- If we divide 3976 by, 1, 2, 4, 7, 8, 14, 28, 56, 71, 142, 284, 497, 568, 994, 1988 and 3976 then we get remainder as zero. Hence, 1, 2, 4, 7, 8, 14, 28, 56, 71, 142, 284, 497, 568, 994, 1988 and 3976 are the factors of 3976.
Note:
- 3976 is not the perfect square.
- Factors of 3976: 1, 2, 4, 7, 8, 14, 28, 56, 71, 142, 284, 497, 568, 994, 1988 and 3976
- Prime factors of 3976: 2, 7, 71
Conclusion:
- 3976 is the composite number which has factors, 1, 2, 4, 7, 8, 14, 28, 56, 71, 142, 284, 497, 568, 994, 1988 and 3976
- And hence, 3976 is not the prime number.
Multiple Choice Questions:
1) 3976 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 3976 are
a) 3976
b) 2, 7, 71
c) 4, 8, 14, 28, 56, 142, 284, 497, 568, 994, 1988 and 3976
d) 1, 2, 4, 7, 8, 14, 28, 56, 71, 142, 284, 497, 568, 994, 1988 and 3976
Ans: c) 4, 8, 14, 28, 56, 142, 284, 497, 568, 994, 1988 and 3976
3) 3976 is composite number because
a) It has factors 1, 2, 4, 7, 8, 14, 28, 56, 71, 142, 284, 497, 568, 994, 1988 and 3976
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b