Is 4028 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 4028 is composite or not first we have to find its factors.
Contents
Factors of 4028:
- If we have taken numbers from 1, 2, 3…for checking factors of 4028 we found that 4028 has factors 1, 2, 4, 19, 38, 53, 76, 106, 212, 1007, 2014 and 4028. Hence, we must say that 4028 is a composite number.
- Thus, 4028 is the composite number.
- If we multiply 4028 by 1, 2, 3 then we get the multiples of 4028 which are 4028, 8056 and so on.
About the number 4028:
- 4028 has more than two factors which are 1, 2, 4, 19, 38, 53, 76, 106, 212, 1007, 2014 and 4028 and hence it is the composite number.
- 4028 is the even composite number and it is not the perfect square also.
- If we divide 4028 by, 1, 2, 4, 19, 38, 53, 76, 106, 212, 1007, 2014 and 4028 then we get remainder as zero. Hence, 1, 2, 4, 19, 38, 53, 76, 106, 212, 1007, 2014 and 4028 are the factors of 4028.
Note:
- 4028 is not the perfect square.
- Factors of 4028: 1, 2, 4, 19, 38, 53, 76, 106, 212, 1007, 2014 and 4028
- Prime factors of 4028: 2, 19, 53
Conclusion:
- 4028 is the composite number which has factors, 1, 2, 4, 19, 38, 53, 76, 106, 212, 1007, 2014 and 4028
- And hence, 4028 is not the prime number.
Multiple Choice Questions:
1) 4028 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 4028 are
a) 4028
b) 2, 19, 53
c) 4, 38, 76, 106, 212, 1007, 2014 and 4028
d) 1, 2, 4, 19, 38, 53, 76, 106, 212, 1007, 2014 and 4028
Ans: c) 4, 38, 76, 106, 212, 1007, 2014 and 4028
3) 4028 is composite number because
a) It has factors 1, 2, 4, 19, 38, 53, 76, 106, 212, 1007, 2014 and 4028
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b