Is 4060 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 4060 is composite or not first we have to find its factors.
Contents
Factors of 4060:
- If we have taken numbers from 1, 2, 3…for checking factors of 4060 we found that 4060 has factors 1, 2, 4, 5, 7, 10, 14, 20, 28, 29, 35, 58, 70, 116, 140, 145, 203, 290, 406, 580, 812, 1015, 2030 and 4060. Hence, we must say that 4060 is a composite number.
- Thus, 4060 is the composite number.
- If we multiply 4060 by 1, 2, 3 then we get the multiples of 4060 which are 4060, 8120 and so on.
About the number 4060:
- 4060 has more than two factors which are 1, 2, 4, 5, 7, 10, 14, 20, 28, 29, 35, 58, 70, 116, 140, 145, 203, 290, 406, 580, 812, 1015, 2030 and 4060 and hence it is the composite number.
- 4060 is the even composite number and it is not the perfect square also.
- If we divide 4060 by, 1, 2, 4, 5, 7, 10, 14, 20, 28, 29, 35, 58, 70, 116, 140, 145, 203, 290, 406, 580, 812, 1015, 2030 and 4060 then we get remainder as zero. Hence, 1, 2, 4, 5, 7, 10, 14, 20, 28, 29, 35, 58, 70, 116, 140, 145, 203, 290, 406, 580, 812, 1015, 2030 and 4060 are the factors of 4060.
Note:
- 4060 is not the perfect square.
- Factors of 4060: 1, 2, 4, 5, 7, 10, 14, 20, 28, 29, 35, 58, 70, 116, 140, 145, 203, 290, 406, 580, 812, 1015, 2030 and 4060
- Prime factors of 4060: 2, 5, 7, 29
Conclusion:
- 4060 is the composite number which has factors, 1, 2, 4, 5, 7, 10, 14, 20, 28, 29, 35, 58, 70, 116, 140, 145, 203, 290, 406, 580, 812, 1015, 2030 and 4060
- And hence, 4060 is not the prime number.
Multiple Choice Questions:
1) 4060 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 4060 are
a) 4060
b) 2, 5, 7, 29
c) 4, 10, 14, 20, 28, 35, 58, 70, 116, 140, 145, 203, 290, 406, 580, 812, 1015, 2030 and 4060
d) 1, 2, 4, 5, 7, 10, 14, 20, 28, 29, 35, 58, 70, 116, 140, 145, 203, 290, 406, 580, 812, 1015, 2030 and 4060
Ans: c) 4, 10, 14, 20, 28, 35, 58, 70, 116, 140, 145, 203, 290, 406, 580, 812, 1015, 2030 and 4060
3) 4060 is composite number because
a) It has factors 1, 2, 4, 5, 7, 10, 14, 20, 28, 29, 35, 58, 70, 116, 140, 145, 203, 290, 406, 580, 812, 1015, 2030 and 4060
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b