Is 3944 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 3944 is composite or not first we have to find its factors.
Contents
Factors of 3944:
- If we have taken numbers from 1, 2, 3…for checking factors of 3944, we found that 3944 has factors 1, 2, 4, 8, 17, 29, 34, 58, 68, 116, 136, 232, 493, 986, 1972 and 3944. Hence, we must say that 3944 is a composite number.
- Thus, 3944 is the composite number.
- If we multiply 3944 by 1, 2, 3 then we get the multiples of 3944 which are 3944, 7888 and so on.
About the number 3944:
- 3944 has more than two factors which are 1, 2, 4, 8, 17, 29, 34, 58, 68, 116, 136, 232, 493, 986, 1972 and 3944 and hence it is the composite number.
- 3944 is the even composite number and it is not the perfect square also.
- If we divide 3944 by, 1, 2, 4, 8, 17, 29, 34, 58, 68, 116, 136, 232, 493, 986, 1972 and 3944 then we get remainder as zero. Hence, 1, 2, 4, 8, 17, 29, 34, 58, 68, 116, 136, 232, 493, 986, 1972 and 3944 are the factors of 3944.
Note:
- 3944 is not the perfect square.
- Factors of 3944: 1, 2, 4, 8, 17, 29, 34, 58, 68, 116, 136, 232, 493, 986, 1972 and 3944
- Prime factors of 3944: 2, 17, 29
Conclusion:
- 3944 is the composite number which has factors, 1, 2, 4, 8, 17, 29, 34, 58, 68, 116, 136, 232, 493, 986, 1972 and 3944
- And hence, 3944 is not the prime number.
Multiple Choice Questions:
1) 3944 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 3944 are
a) 3944
b) 2, 17, 29
c) 4, 8, 34, 58, 68, 116, 136, 232, 493, 986, 1972 and 3944
d) 1, 2, 4, 8, 17, 29, 34, 58, 68, 116, 136, 232, 493, 986, 1972 and 3944
Ans: c) 4, 8, 34, 58, 68, 116, 136, 232, 493, 986, 1972 and 3944
3) 3944 is composite number because
a) It has factors 1, 2, 4, 8, 17, 29, 34, 58, 68, 116, 136, 232, 493, 986, 1972 and 3944
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b