Is 2274 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 2274 is composite or not first we have to find its factors.
Contents
Factors of 2274:
- If we have taken numbers from 1, 2, 3…for checking factors of 2274, we found that 2274 has factors 1, 2, 3, 6, 379, 758, 1137 and 2274. Hence, we must say that 2274 is a composite number.
- Thus, 2274 is the composite number.
- If we multiply 2274 by 1, 2, 3 then we get the multiples of 2274 which are 2274, 4548 and so on.
About the number 2274:
- 2274 has more than two factors which are 1, 2, 3, 6, 379, 758, 1137 and 2274 and hence it is the composite number.
- 2274 is the even composite number and it is not the perfect square also.
- If we divide 2274 by, 1, 2, 3, 6, 379, 758, 1137 and 2274 then we get remainder as zero. Hence, 1, 2, 3, 6, 379, 758, 1137 and 2274 are the factors of 2274.
Note:
- 2274 is not the perfect square.
- Factors of 2274: 1, 2, 3, 6, 379, 758, 1137 and 2274
- Prime factors of 2274: 2, 3, 379
Conclusion:
- 2274 is the composite number which has factors 1, 2, 3, 6, 379, 758, 1137 and 2274
- And hence, 2274 is not the prime number.
Multiple Choice Questions:
1) 2274 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 2274 are
a) 2274
b) 2, 3, 379
c) 1, 6, 758, 1137 and 2274
d) 1, 2, 3, 6, 379, 758, 1137 and 2274
Ans: b) 2, 3, 379
3) 2274 is composite number because
a) It has factors 1, 2, 3, 6, 379, 758, 1137 and 2274
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b