Is 1284 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 1284 is composite or not first we have to find its factors.
Contents
Factors of 1284:
- If we have taken numbers from 1, 2, 3…for checking factors of 1284, we found that 1284 has factors 1, 2, 3, 4, 6, 12, 107, 214, 321, 428, 642 and 1284. Hence, we must say that 1284 is a composite number.
- Thus, 1284 is the composite number.
- If we multiply 1284 by 1, 2, 3 then we get the multiples of 1284 which are 1284, 2568 and so on.
About the number 1284:
- 1284 has more than two factors which are 1, 2, 3, 4, 6, 12, 107, 214, 321, 428, 642 and 1284 and hence it is the composite number.
- 1284 is the even composite number and it is not the perfect square also.
- If we divide 1284 by 1, 2, 3, 4, 6, 12, 107, 214, 321, 428, 642 and 1284 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 12, 107, 214, 321, 428, 642 and 1284 are the factors of 1284.
Note:
- 1284 is not the perfect square.
- Factors of 1284: 1, 2, 3, 4, 6, 12, 107, 214, 321, 428, 642 and 1284
- Prime factors of 1284: 2, 3, 107
Conclusion:
- 1284 is the composite number which has factors 1, 2, 3, 4, 6, 12, 107, 214, 321, 428, 642 and 1284
- And hence, 1284 is not the prime number.
Multiple Choice Questions:
1) 1284 is a
a) Even number
b) Not a perfect square number
c) Composite number
d) all
Ans: d) all
2) The composite factors of a composite number 1284 are
a) 4, 6, 12, 214, 321, 428, 642 and 1284
b) 2, 3, 107
c) 1, 4, 6, 12, 214, 321, 428, 642 and 1284
d) 1, 2, 3, 4, 6, 12, 107, 214, 321, 428, 642 and 1284
Ans: a) 4, 6, 12, 214, 321, 428, 642 and 1284
3) 1284 is composite number because
a) It has factors 1, 2, 3, 4, 6, 12, 107, 214, 321, 428, 642 and 1284
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b