Is 2028 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 2028 is composite or not first we have to find its factors.
Contents
Factors of 2028:
- If we have taken numbers from 1, 2, 3…for checking factors of 2028, we found that 2028 has factors 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 169, 338, 507, 676, 1014 and 2028. Hence, we must say that 2028 is a composite number.
- Thus, 2028 is the composite number.
- If we multiply 2028 by 1, 2, 3 then we get the multiples of 2028 which are 2028, 4056 and so on.
About the number 2028:
- 2028 has more than two factors which are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 169, 338, 507, 676, 1014 and 2028 and hence it is the composite number.
- 2028 is the even composite number and it is not the perfect square also.
- If we divide 2028 by, 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 169, 338, 507, 676, 1014 and 2028 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 169, 338, 507, 676, 1014 and 2028 are the factors of 2028.
Note:
- 2028 is not the perfect square.
- Factors of 2028: 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 169, 338, 507, 676, 1014 and 2028
- Prime factors of 2028: 2, 3, 13
Conclusion:
- 2028 is the composite number which has factors 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 169, 338, 507, 676, 1014 and 2028
- And hence, 2028 is not the prime number.
Multiple Choice Questions:
1) 2028 is a
a) Prime number
b) Odd number
c) Composite number
d) Both a and c
Ans: c) composite number
2) The non-prime factors of a composite number 2028 are
a) 2028
b) 2, 3, 13
c) 1, 4, 6, 12, 26, 39, 52, 78, 156, 169, 338, 507, 676, 1014 and 2028
d) 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 169, 338, 507, 676, 1014 and 2028
Ans: c) 1, 4, 6, 12, 26, 39, 52, 78, 156, 169, 338, 507, 676, 1014 and 2028
3) 2028 is composite number because
a) It has factors 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 169, 338, 507, 676, 1014 and 2028
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: a) it has factors 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 169, 338, 507, 676, 1014 and 2028