Is 2268 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 2268 is composite or not first we have to find its factors.
Contents
Factors of 2268:
- If we have taken numbers from 1, 2, 3…for checking factors of 2268, we found that 2268 has factors 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 81, 84, 108, 126, 162, 189, 252, 324, 378, 567, 756, 1134 and 2268. Hence, we must say that 2268 is a composite number.
- Thus, 2268 is the composite number.
- If we multiply 2268 by 1, 2, 3 then we get the multiples of 2268 which are 2268, 4536 and so on.
About the number 2268:
- 2268 has more than two factors which are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 81, 84, 108, 126, 162, 189, 252, 324, 378, 567, 756, 1134 and 2268 and hence it is the composite number.
- 2268 is the even composite number and it is not the perfect square also.
- If we divide 2268 by, 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 81, 84, 108, 126, 162, 189, 252, 324, 378, 567, 756, 1134 and 2268 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 81, 84, 108, 126, 162, 189, 252, 324, 378, 567, 756, 1134 and 2268 are the factors of 2268.
Note:
- 2268 is not the perfect square.
- Factors of 2268: 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 81, 84, 108, 126, 162, 189, 252, 324, 378, 567, 756, 1134 and 2268
- Prime factors of 2268: 2, 3, 7
Conclusion:
- 2268 is the composite number which has factors 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 81, 84, 108, 126, 162, 189, 252, 324, 378, 567, 756, 1134 and 2268
- And hence, 2268 is not the prime number.
Multiple Choice Questions:
1) 2268 is a
a) Even number
b) Odd number
c) Composite number
d) Both a and c
Ans: d) both a and d
2) The prime factors of a composite number 2268 are
a) 2268
b) 2, 3, 7
c) 1, 4, 6, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 81, 84, 108, 126, 162, 189, 252, 324, 378, 567, 756, 1134 and 2268
d) 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 81, 84, 108, 126, 162, 189, 252, 324, 378, 567, 756, 1134 and 2268
Ans: b) 2, 3, 7
3) 2268 is composite number because
a) It has factors 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 81, 84, 108, 126, 162, 189, 252, 324, 378, 567, 756, 1134 and 2268
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b