Is 2244 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 2244 is composite or not first we have to find its factors.
Contents
Factors of 2244:
- If we have taken numbers from 1, 2, 3…for checking factors of 2244, we found that 2244 has factors 1, 2, 3, 4, 6, 11, 12, 17, 22, 33, 34, 44, 51, 66, 68, 102, 132, 187, 204, 374, 561, 748, 1122 and 2244. Hence, we must say that 2244 is a composite number.
- Thus, 2244 is the composite number.
- If we multiply 2244 by 1, 2, 3 then we get the multiples of 2244 which are 2244, 4488 and so on.
About the number 2244:
- 2244 has more than two factors which are 1, 2, 3, 4, 6, 11, 12, 17, 22, 33, 34, 44, 51, 66, 68, 102, 132, 187, 204, 374, 561, 748, 1122 and 2244 and hence it is the composite number.
- 2244 is the even composite number and it is not the perfect square also.
- If we divide 2244 by, 1, 2, 3, 4, 6, 11, 12, 17, 22, 33, 34, 44, 51, 66, 68, 102, 132, 187, 204, 374, 561, 748, 1122 and 2244 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 11, 12, 17, 22, 33, 34, 44, 51, 66, 68, 102, 132, 187, 204, 374, 561, 748, 1122 and 2244 are the factors of 2244.
Note:
- 2244 is not the perfect square.
- Factors of 2244: 1, 2, 3, 4, 6, 11, 12, 17, 22, 33, 34, 44, 51, 66, 68, 102, 132, 187, 204, 374, 561, 748, 1122 and 2244
- Prime factors of 2244: 2, 3, 11, 17
Conclusion:
- 2244 is the composite number which has factors 1, 2, 3, 4, 6, 11, 12, 17, 22, 33, 34, 44, 51, 66, 68, 102, 132, 187, 204, 374, 561, 748, 1122 and 2244
- And hence, 2244 is not the prime number.
Multiple Choice Questions:
1) 2244 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 2244 are
a) 2244
b) 2, 3, 11, 17
c) 1, 4, 6, 12, 22, 33, 34, 44, 51, 66, 68, 102, 132, 187, 204, 374, 561, 748, 1122 and 2244
d) 1, 2, 3, 4, 6, 11, 12, 17, 22, 33, 34, 44, 51, 66, 68, 102, 132, 187, 204, 374, 561, 748, 1122 and 2244
Ans: b) 2, 3, 11, 17
3) 2244 is composite number because
a) It has factors 1, 2, 3, 4, 6, 11, 12, 17, 22, 33, 34, 44, 51, 66, 68, 102, 132, 187, 204, 374, 561, 748, 1122 and 2244
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b