Is 3984 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 3984 is composite or not first we have to find its factors.
Contents
Factors of 3984:
- If we have taken numbers from 1, 2, 3…for checking factors of 3984, we found that 3984 has factors 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 83, 166, 249, 332, 498, 664, 996, 1328, 1992 and 3984. Hence, we must say that 3984 is a composite number.
- Thus, 3984 is the composite number.
- If we multiply 3984 by 1, 2, 3 then we get the multiples of 3984 which are 3984, 7968 and so on.
About the number 3984:
- 3984 has more than two factors which are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 83, 166, 249, 332, 498, 664, 996, 1328, 1992 and 3984 and hence it is the composite number.
- 3984 is the even composite number and it is not the perfect square also.
- If we divide 3984 by, 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 83, 166, 249, 332, 498, 664, 996, 1328, 1992 and 3984 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 83, 166, 249, 332, 498, 664, 996, 1328, 1992 and 3984 are the factors of 3984.
Note:
- 3984 is not the perfect square.
- Factors of 3984: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 83, 166, 249, 332, 498, 664, 996, 1328, 1992 and 3984
- Prime factors of 3984: 2, 3, 83
Conclusion:
- 3984 is the composite number which has factors, 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 83, 166, 249, 332, 498, 664, 996, 1328, 1992 and 3984
- And hence, 3984 is not the prime number.
Multiple Choice Questions:
1) 3984 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 3984 are
a) 3984
b) 2, 3, 83
c) 4, 6, 8, 12, 16, 24, 48, 166, 249, 332, 498, 664, 996, 1328, 1992 and 3984
d) 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 83, 166, 249, 332, 498, 664, 996, 1328, 1992 and 3984
Ans: c) 4, 6, 8, 12, 16, 24, 48, 166, 249, 332, 498, 664, 996, 1328, 1992 and 3984
3) 3984 is composite number because
a) It has factors 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 83, 166, 249, 332, 498, 664, 996, 1328, 1992 and 3984
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b