Is 2788 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 2788 is composite or not first we have to find its factors.
Contents
Factors of 2788:
- If we have taken numbers from 1, 2, 3…for checking factors of 2788, we found that 2788 has factors 1, 2, 4, 17, 34, 41, 68, 82, 164, 697, 1394 and 2788. Hence, we must say that 2788 is a composite number.
- Thus, 2788 is the composite number.
- If we multiply 2788 by 1, 2, 3 then we get the multiples of 2788 which are 2788, 5576 and so on.
About the number 2788:
- 2788 has more than two factors which are 1, 2, 4, 17, 34, 41, 68, 82, 164, 697, 1394 and 2788 and hence it is the composite number.
- 2788 is the even composite number and it is not the perfect square also.
- If we divide 2788 by, 1, 2, 4, 17, 34, 41, 68, 82, 164, 697, 1394 and 2788 then we get remainder as zero. Hence, 1, 2, 4, 17, 34, 41, 68, 82, 164, 697, 1394 and 2788 are the factors of 2788.
Note:
- 2788 is not the perfect square.
- Factors of 2788: 1, 2, 4, 17, 34, 41, 68, 82, 164, 697, 1394 and 2788
- Prime factors of 2788: 2, 17, 41
Conclusion:
- 2788 is the composite number which has factors, 1, 2, 4, 17, 34, 41, 68, 82, 164, 697, 1394 and 2788
- And hence, 2788 is not the prime number.
Multiple Choice Questions:
1) 2788 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 2788 are
a) 2788
b) 2, 17, 41
c) 4, 34, 68, 82, 164, 697, 1394 and 2788
d) 1, 2, 4, 17, 34, 41, 68, 82, 164, 697, 1394 and 2788
Ans: c) 4, 34, 68, 82, 164, 697, 1394 and 2788
3) 2788 is even composite number because
a) It has factors 1, 2, 4, 17, 34, 41, 68, 82, 164, 697, 1394 and 2788
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: d) both a and c