Is 2884 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 2884 is composite or not first we have to find its factors.
Contents
Factors of 2884:
- If we have taken numbers from 1, 2, 3…for checking factors of 2884, we found that 2884 has factors 1, 2, 4, 7, 14, 28, 103, 206, 412, 721, 1442 and 2884. Hence, we must say that 2884 is a composite number.
- Thus, 2884 is the composite number.
- If we multiply 2884 by 1, 2, 3 then we get the multiples of 2884 which are 2884, 5768 and so on.
About the number 2884:
- 2884 has more than two factors which are 1, 2, 4, 7, 14, 28, 103, 206, 412, 721, 1442 and 2884 and hence it is the composite number.
- 2884 is the even composite number and it is not the perfect square also.
- If we divide 2884 by, 1, 2, 4, 7, 14, 28, 103, 206, 412, 721, 1442 and 2884 then we get remainder as zero. Hence, 1, 2, 4, 7, 14, 28, 103, 206, 412, 721, 1442 and 2884 are the factors of 2884.
Note:
- 2884 is not the perfect square.
- Factors of 2884: 1, 2, 4, 7, 14, 28, 103, 206, 412, 721, 1442 and 2884
- Prime factors of 2884: 2, 7, 103
Conclusion:
- 2884 is the composite number which has factors, 1, 2, 4, 7, 14, 28, 103, 206, 412, 721, 1442 and 2884
- And hence, 2884 is not the prime number.
Multiple Choice Questions:
1) 2884 is a
a) Prime number
b) Odd number
c) Composite number
d) Both a and c
Ans: c) composite number
2) The composite factors of a composite number 2884 are
a) 2884
b) 2, 7, 103
c) 4, 14, 28, 206, 412, 721, 1442 and 2884
d) 1, 2, 4, 7, 14, 28, 103, 206, 412, 721, 1442 and 2884
Ans: c) 4, 14, 28, 206, 412, 721, 1442 and 2884
3) 2884 is even composite number because
a) It has factors 1, 2, 4, 7, 14, 28, 103, 206, 412, 721, 1442 and 2884
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: d) both a and c