Is 2277 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 2277 is composite or not first we have to find its factors.
Contents
Factors of 2277:
- If we have taken numbers from 1, 2, 3…for checking factors of 2277, we found that 2277 has factors 1, 3, 9, 11, 23, 33, 69, 99, 207, 253, 759 and 2277. Hence, we must say that 2277 is a composite number.
- Thus, 2277 is the composite number.
- If we multiply 2277 by 1, 2, 3 then we get the multiples of 2277 which are 2277, 4554 and so on.
2277 is a Composite number or Prime number
About the number 2277:
- 2277 has more than two factors which are 1, 3, 9, 11, 23, 33, 69, 99, 207, 253, 759 and 2277 and hence it is the composite number.
- 2277 is the odd composite number and it is not the perfect square also.
- If we divide 2277 by 1, 3, 9, 11, 23, 33, 69, 99, 207, 253, 759 and 2277 then we get remainder as zero. Hence, 1, 3, 9, 11, 23, 33, 69, 99, 207, 253, 759 and 2277 are the factors of 2277
Note:
- 2277 is not the perfect square.
- Factors of 2277: 1, 3, 9, 11, 23, 33, 69, 99, 207, 253, 759 and 2277
- Prime factors of 2277: 3, 11, 23
Conclusion:
- 2277 is the composite number which has factors 1, 3, 9, 11, 23, 33, 69, 99, 207, 253, 759 and 2277.
- And hence, 2277 is not the prime number.
Multiple Choice Questions:
1) 2277 is a
a) odd number
b) Prime number
c) Composite number
d) Both a and c
Ans: d) both a and c
2) The prime factors of a composite number 2277 are
a) 1
b) 3, 11, 23
c) 1 and 2277
d) 1, 3, 9, 11, 23, 33, 69, 99, 207, 253, 759 and 2277
Ans: b) 3, 11, 23
3) 2277 is the composite number because
a) It has factors 1, 3, 9, 11, 23, 33, 69, 99, 207, 253, 759 and 2277
b) It has more than two factors
c) It is not divisible by 2
d) Both a and b
Ans: d) both a and b