Is 2808 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 2808 is composite or not first we have to find its factors.
Factors of 2808:
- If we have taken numbers from 1, 2, 3…for checking factors of 2808, we found that 2808 has factors 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 27, 36, 39, 52, 54, 72, 78, 104, 108, 117, 156, 216, 234, 312, 351, 468, 702, 936, 1404 and 2808. Hence, we must say that 2808 is a composite number.
- Thus, 2808 is the composite number.
- If we multiply 2808 by 1, 2, 3 then we get the multiples of 2808 which are 2808, 5616 and so on.
About the number 2808:
- 2808 has more than two factors which are 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 27, 36, 39, 52, 54, 72, 78, 104, 108, 117, 156, 216, 234, 312, 351, 468, 702, 936, 1404 and 2808 and hence it is the composite number.
- 2808 is the even composite number and it is not the perfect square also.
- If we divide 2808 by, 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 27, 36, 39, 52, 54, 72, 78, 104, 108, 117, 156, 216, 234, 312, 351, 468, 702, 936, 1404 and 2808 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 27, 36, 39, 52, 54, 72, 78, 104, 108, 117, 156, 216, 234, 312, 351, 468, 702, 936, 1404 and 2808 are the factors of 2808.
Note:
- 2808 is not the perfect square.
- Factors of 2808: 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 27, 36, 39, 52, 54, 72, 78, 104, 108, 117, 156, 216, 234, 312, 351, 468, 702, 936, 1404 and 2808
- Prime factors of 2808: 2, 3, 13
Conclusion:
- 2808 is the composite number which has factors, 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 27, 36, 39, 52, 54, 72, 78, 104, 108, 117, 156, 216, 234, 312, 351, 468, 702, 936, 1404 and 2808
- And hence, 2808 is not the prime number.
Multiple Choice Questions:
1) 2808 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 2808 are
a) 2808
b) 2, 3, 13
c) 4, 6, 8, 9, 12, 18, 24, 26, 27, 36, 39, 52, 54, 72, 78, 104, 108, 117, 156, 216, 234, 312, 351, 468, 702, 936, 1404 and 2808
d) 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 27, 36, 39, 52, 54, 72, 78, 104, 108, 117, 156, 216, 234, 312, 351, 468, 702, 936, 1404 and 2808
Ans: c) 4, 6, 8, 9, 12, 18, 24, 26, 27, 36, 39, 52, 54, 72, 78, 104, 108, 117, 156, 216, 234, 312, 351, 468, 702, 936, 1404 and 2808
3) 2808 is even composite number because
a) It has factors 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 27, 36, 39, 52, 54, 72, 78, 104, 108, 117, 156, 216, 234, 312, 351, 468, 702, 936, 1404 and 2808
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: d) both a and c