Is 4194 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 4194 is composite or not first we have to find its factors.
Contents
Factors of 4194:
- If we have taken numbers from 1, 2, 3…for checking factors of 4194 we found that 4194 has factors 1, 2, 3, 6, 9, 18, 233, 466, 699, 1398, 2097 and 4194. Hence, we must say that 4194 is a composite number.
- Thus, 4194 is the composite number.
- If we multiply 4194 by 1, 2, 3 then we get the multiples of 4194 which are 4194, 8388 and so on.
About the number 4194:
- 4194 has more than two factors which are 1, 2, 3, 6, 9, 18, 233, 466, 699, 1398, 2097 and 4194 and hence it is the composite number.
- 4194 is the even composite number and it is not the perfect square also.
- If we divide 4194 by, 1, 2, 3, 6, 9, 18, 233, 466, 699, 1398, 2097 and 4194 then we get remainder as zero. Hence, 1, 2, 3, 6, 9, 18, 233, 466, 699, 1398, 2097 and 4194 are the factors of 4194.
Note:
- 4194 is not the perfect square.
- Factors of 4194: 1, 2, 3, 6, 9, 18, 233, 466, 699, 1398, 2097 and 4194
- Prime factors of 4194: 2, 3, 233
Conclusion:
- 4194 is the composite number which has factors, 1, 2, 3, 6, 9, 18, 233, 466, 699, 1398, 2097 and 4194
- And hence, 4194 is not the prime number.
Multiple Choice Questions:
1) 4194 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 4194 are
a) 4194
b) 2, 3, 233
c) 6, 9, 18, 466, 699, 1398, 2097 and 4194
d) 1, 2, 3, 6, 9, 18, 233, 466, 699, 1398, 2097 and 4194
Ans: c) 6, 9, 18, 466, 699, 1398, 2097 and 4194
3) 4194 is composite number because
a) It has factors 1, 2, 3, 6, 9, 18, 233, 466, 699, 1398, 2097 and 4194
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b