Is 4092 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 4092 is composite or not first we have to find its factors.
Contents
Factors of 4092:
- If we have taken numbers from 1, 2, 3…for checking factors of 4092 we found that 4092 has factors 1, 2, 3, 4, 6, 11, 12, 22, 31, 33, 44, 62, 66, 93, 124, 132, 186, 341, 372, 682, 1023, 1364, 2046 and 4092. Hence, we must say that 4092 is a composite number.
- Thus, 4092 is the composite number.
- If we multiply 4092 by 1, 2, 3 then we get the multiples of 4092 which are 4092, 8184 and so on.
About the number 4092:
- 4092 has more than two factors which are 1, 2, 3, 4, 6, 11, 12, 22, 31, 33, 44, 62, 66, 93, 124, 132, 186, 341, 372, 682, 1023, 1364, 2046 and 4092 and hence it is the composite number.
- 4092 is the even composite number and it is not the perfect square also.
- If we divide 4092 by, 1, 2, 3, 4, 6, 11, 12, 22, 31, 33, 44, 62, 66, 93, 124, 132, 186, 341, 372, 682, 1023, 1364, 2046 and 4092 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 11, 12, 22, 31, 33, 44, 62, 66, 93, 124, 132, 186, 341, 372, 682, 1023, 1364, 2046 and 4092 are the factors of 4092.
Note:
- 4092 is not the perfect square.
- Factors of 4092: 1, 2, 3, 4, 6, 11, 12, 22, 31, 33, 44, 62, 66, 93, 124, 132, 186, 341, 372, 682, 1023, 1364, 2046 and 4092
- Prime factors of 4092: 2, 3, 11, 31
Conclusion:
- 4092 is the composite number which has factors, 1, 2, 3, 4, 6, 11, 12, 22, 31, 33, 44, 62, 66, 93, 124, 132, 186, 341, 372, 682, 1023, 1364, 2046 and 4092
- And hence, 4092 is not the prime number.
Multiple Choice Questions:
1) 4092 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 4092 are
a) 4092
b) 2, 3, 11, 31
c) 4, 6, 12, 22, 33, 44, 62, 66, 93, 124, 132, 186, 341, 372, 682, 1023, 1364, 2046 and 4092
d) 1, 2, 3, 4, 6, 11, 12, 22, 31, 33, 44, 62, 66, 93, 124, 132, 186, 341, 372, 682, 1023, 1364, 2046 and 4092
Ans: c) 4, 6, 12, 22, 33, 44, 62, 66, 93, 124, 132, 186, 341, 372, 682, 1023, 1364, 2046 and 4092
3) 4092 is composite number because
a) It has factors 1, 2, 3, 4, 6, 11, 12, 22, 31, 33, 44, 62, 66, 93, 124, 132, 186, 341, 372, 682, 1023, 1364, 2046 and 4092
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b