Is 2278 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 2278 is composite or not first we have to find its factors.
Contents
Factors of 2278:
- If we have taken numbers from 1, 2, 3…for checking factors of 2278, we found that 2278 has factors 1, 2, 17, 34, 67, 134, 1139 and 2278. Hence, we must say that 2278 is a composite number.
- Thus, 2278 is the composite number.
- If we multiply 2278 by 1, 2, 3 then we get the multiples of 2278 which are 2278, 4556 and so on.
About the number 2278:
- 2278 has more than two factors which are 1, 2, 17, 34, 67, 134, 1139 and 2278 and hence it is the composite number.
- 2278 is the even composite number and it is not the perfect square also.
- If we divide 2278 by, 1, 2, 17, 34, 67, 134, 1139 and 2278 then we get remainder as zero. Hence, 1, 2, 17, 34, 67, 134, 1139 and 2278 are the factors of 2278.
Note:
- 2278 is not the perfect square.
- Factors of 2278: 1, 2, 17, 34, 67, 134, 1139 and 2278
- Prime factors of 2278: 2, 17, 67
Conclusion:
- 2278 is the composite number which has factors 1, 2, 17, 34, 67, 134, 1139 and 2278
- And hence, 2278 is not the prime number.
Multiple Choice Questions:
1) 2278 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 2278 are
a) 2278
b) 2, 17, 67
c) 1, 34, 134, 1139 and 2278
d) 1, 2, 17, 34, 67, 134, 1139 and 2278
Ans: b) 2, 17, 67
3) 2278 is composite number because
a) It has factors 1, 2, 17, 34, 67, 134, 1139 and 2278
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b