Is 3942 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 3942 is composite or not first we have to find its factors.
Contents
Factors of 3942:
- If we have taken numbers from 1, 2, 3…for checking factors of 3942, we found that 3942 has factors 1, 2, 3, 6, 9, 18, 27, 54, 73, 146, 219, 438, 657, 1314, 1971 and 3942. Hence, we must say that 3942 is a composite number.
- Thus, 3942 is the composite number.
- If we multiply 3942 by 1, 2, 3 then we get the multiples of 3942 which are 3942, 7884 and so on.
About the number 3942:
- 3942 has more than two factors which are 1, 2, 3, 6, 9, 18, 27, 54, 73, 146, 219, 438, 657, 1314, 1971 and 3942 and hence it is the composite number.
- 3942 is the even composite number and it is not the perfect square also.
- If we divide 3942 by, 1, 2, 3, 6, 9, 18, 27, 54, 73, 146, 219, 438, 657, 1314, 1971 and 3942 then we get remainder as zero. Hence, 1, 2, 3, 6, 9, 18, 27, 54, 73, 146, 219, 438, 657, 1314, 1971 and 3942 are the factors of 3942.
Note:
- 3942 is not the perfect square.
- Factors of 3942: 1, 2, 3, 6, 9, 18, 27, 54, 73, 146, 219, 438, 657, 1314, 1971 and 3942
- Prime factors of 3942: 2, 3, 73
Conclusion:
- 3942 is the composite number which has factors, 1, 2, 3, 6, 9, 18, 27, 54, 73, 146, 219, 438, 657, 1314, 1971 and 3942
- And hence, 3942 is not the prime number.
Multiple Choice Questions:
1) 3942 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 3942 are
a) 3942
b) 2, 3, 73
c) 6, 9, 18, 27, 54, 146, 219, 438, 657, 1314, 1971 and 3942
d) 1, 2, 3, 6, 9, 18, 27, 54, 73, 146, 219, 438, 657, 1314, 1971 and 3942
Ans: c) 6, 9, 18, 27, 54, 146, 219, 438, 657, 1314, 1971 and 3942
3) 3942 is composite number because
a) It has factors 1, 2, 3, 6, 9, 18, 27, 54, 73, 146, 219, 438, 657, 1314, 1971 and 3942
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b