Is 284 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 284 is composite or not first we have to find its factors.
Contents
Factors of 284:
- If we have taken numbers from 1, 2, 3…for checking factors of 284, we found that 284 has factors 1, 2, 4, 71, 142 and 284. Hence, we must say that 284 is a composite number.
- Thus, 284 is the composite umber.
- If we multiply 284 by 1, 2, 3 then we get the multiples of 284 which are 284, 568, and so on
About the number 284:
- 284 has more than two factors which are 1, 2, 4, 71, 142 and 284 and hence it is the composite number.
- 284 is the even composite number and it is not the perfect square also.
- If we divide 284 by 1, 2, 4, 71, 142 and 284 then we get remainder as zero. Hence, 1, 2, 4, 71, 142 and 284 are the factors of 284.
Note:
- 284 is not the perfect square.
- Factors of 284:1, 2, 4, 71, 142 and 284
- Prime factors of 284: 2, 71
Conclusion:
- 284 is the composite number which has factors 1, 2, 4, 71, 142
- And hence, 284 is not the prime number.
Multiple Choice Questions:
1) 284 is a
a) Prime number
b) Even number
c) Composite number
d) Both b and c
Ans: d) both b and c
2) The prime factors of a composite number 284 are
a) 2
b) 2, 71
c) 2, 4, 134
d) 1, 2, 4, 71, 142 and 284
Ans: b) 2, 71
3) 284 is the even composite number as it has
a) Only two factors
b) It is divisible by 2
c) More than 2 factors
d) Both b and c
Ans: d) both b and