Is 3996 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 3996 is composite or not first we have to find its factors.
Contents
Factors of 3996:
- If we have taken numbers from 1, 2, 3…for checking factors of 3996, we found that 3996 has factors 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 74, 108, 111, 148, 222, 333, 444, 666, 999, 1332, 1998 and 3996. Hence, we must say that 3996 is a composite number.
- Thus, 3996 is the composite number.
- If we multiply 3996 by 1, 2, 3 then we get the multiples of 3996 which are 3996, 7992 and so on.
About the number 3996:
- 3996 has more than two factors which are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 37, 54, 74, 108, 111, 148, 222, 333, 444, 666, 999, 1332, 1998 and 3996 and hence it is the composite number.
- 3996 is the even composite number and it is not the perfect square also.
- If we divide 3996 by, 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 37, 54, 74, 108, 111, 148, 222, 333, 444, 666, 999, 1332, 1998 and 3996 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 37, 54, 74, 108, 111, 148, 222, 333, 444, 666, 999, 1332, 1998 and 3996 are the factors of 3996.
Note:
- 3996 is not the perfect square.
- Factors of 3996: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 37, 54, 74, 108, 111, 148, 222, 333, 444, 666, 999, 1332, 1998 and 3996
- Prime factors of 3996: 2, 3, 37
Conclusion:
- 3996 is the composite number which has factors, 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 37, 54, 74, 108, 111, 148, 222, 333, 444, 666, 999, 1332, 1998 and 3996
- And hence, 3996 is not the prime number.
Multiple Choice Questions:
1) 3996 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 3996 are
a) 3996
b) 2, 3, 37
c) 4, 6, 9, 12, 18, 27, 36, 54, 74, 108, 111, 148, 222, 333, 444, 666, 999, 1332, 1998 and 3996
d) 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 37, 54, 74, 108, 111, 148, 222, 333, 444, 666, 999, 1332, 1998 and 3996
Ans: c) 4, 6, 9, 12, 18, 27, 36, 54, 74, 108, 111, 148, 222, 333, 444, 666, 999, 1332, 1998 and 3996
3) 3996 is composite number because
a) It has factors 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 37, 54, 74, 108, 111, 148, 222, 333, 444, 666, 999, 1332, 1998 and 3996
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b