Is 4180 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 4180 is composite or not first we have to find its factors.
Contents
Factors of 4180:
- If we have taken numbers from 1, 2, 3…for checking factors of 4180 we found that 4180 has factors 1, 2, 4, 5, 10, 11, 19, 20, 22, 38, 44, 55, 76, 95, 110, 190, 209, 220, 380, 418, 836, 1045, 2090 and 4180. Hence, we must say that 4180 is a composite number.
- Thus, 4180 is the composite number.
- If we multiply 4180 by 1, 2, 3 then we get the multiples of 4180 which are 4180, 8360 and so on.
About the number 4180:
- 4180 has more than two factors which are 1, 2, 4, 5, 10, 11, 19, 20, 22, 38, 44, 55, 76, 95, 110, 190, 209, 220, 380, 418, 836, 1045, 2090 and 4180 and hence it is the composite number.
- 4180 is the even composite number and it is not the perfect square also.
- If we divide 4180 by, 1, 2, 4, 5, 10, 11, 19, 20, 22, 38, 44, 55, 76, 95, 110, 190, 209, 220, 380, 418, 836, 1045, 2090 and 4180 then we get remainder as zero. Hence, 1, 2, 4, 5, 10, 11, 19, 20, 22, 38, 44, 55, 76, 95, 110, 190, 209, 220, 380, 418, 836, 1045, 2090 and 4180 are the factors of 4180.
Note:
- 4180 is not the perfect square.
- Factors of 4180: 1, 2, 4, 5, 10, 11, 19, 20, 22, 38, 44, 55, 76, 95, 110, 190, 209, 220, 380, 418, 836, 1045, 2090 and 4180
- Prime factors of 4180: 2, 5, 11, 19
Conclusion:
- 4180 is the composite number which has factors, 1, 2, 4, 5, 10, 11, 19, 20, 22, 38, 44, 55, 76, 95, 110, 190, 209, 220, 380, 418, 836, 1045, 2090 and 4180
- And hence, 4180 is not the prime number.
Multiple Choice Questions:
1) 4180 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 4180 are
a) 4180
b) 2, 5, 11, 19
c) 4, 10, 20, 22, 38, 44, 55, 76, 95, 110, 190, 209, 220, 380, 418, 836, 1045, 2090 and 4180
d) 1, 2, 4, 5, 10, 11, 19, 20, 22, 38, 44, 55, 76, 95, 110, 190, 209, 220, 380, 418, 836, 1045, 2090 and 4180
Ans: c) 4, 10, 11, 20, 22, 38, 44, 55, 76, 95, 110, 190, 209, 220, 380, 418, 836, 1045, 2090 and 4180
3) 4180 is composite number because
a) It has factors 1, 2, 4, 5, 10, 11, 19, 20, 22, 38, 44, 55, 76, 95, 110, 190, 209, 220, 380, 418, 836, 1045, 2090 and 4180
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b