Is 4182 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 4182 is composite or not first we have to find its factors.
Contents
Factors of 4182:
- If we have taken numbers from 1, 2, 3…for checking factors of 4182 we found that 4182 has factors 1, 2, 3, 6, 17, 34, 41, 51, 82, 102, 123, 246, 697, 1394, 2091 and 4182. Hence, we must say that 4182 is a composite number.
- Thus, 4182 is the composite number.
- If we multiply 4182 by 1, 2, 3 then we get the multiples of 4182 which are 4182, 8364 and so on.
About the number 4182:
- 4182 has more than two factors which are 1, 2, 3, 6, 17, 34, 41, 51, 82, 102, 123, 246, 697, 1394, 2091 and 4182 and hence it is the composite number.
- 4182 is the even composite number and it is not the perfect square also.
- If we divide 4182 by, 1, 2, 3, 6, 17, 34, 41, 51, 82, 102, 123, 246, 697, 1394, 2091 and 4182 then we get remainder as zero. Hence, 1, 2, 3, 6, 17, 34, 41, 51, 82, 102, 123, 246, 697, 1394, 2091 and 4182 are the factors of 4182.
Note:
- 4182 is not the perfect square.
- Factors of 4182: 1, 2, 3, 6, 17, 34, 41, 51, 82, 102, 123, 246, 697, 1394, 2091 and 4182
- Prime factors of 4182: 2, 3, 17, 41
Conclusion:
- 4182 is the composite number which has factors, 1, 2, 3, 6, 17, 34, 41, 51, 82, 102, 123, 246, 697, 1394, 2091 and 4182
- And hence, 4182 is not the prime number.
Multiple Choice Questions:
1) 4182 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 4182 are
a) 4182
b) 2, 3, 17, 41
c) 6, 34, 51, 82, 102, 123, 246, 697, 1394, 2091 and 4182
d) 1, 2, 3, 6, 17, 34, 41, 51, 82, 102, 123, 246, 697, 1394, 2091 and 4182
Ans: c) 6, 34, 51, 82, 102, 123, 246, 697, 1394, 2091 and 4182
3) 4182 is composite number because
a) It has factors 1, 2, 3, 6, 17, 34, 41, 51, 82, 102, 123, 246, 697, 1394, 2091 and 4182
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b