Is 2728 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 2728 is composite or not first we have to find its factors.
Contents
Factors of 2728:
- If we have taken numbers from 1, 2, 3…for checking factors of 2728, we found that 2728 has factors 1, 2, 4, 8, 11, 22, 31, 44, 62, 88, 124, 248, 341, 682, 1364 and 2728. Hence, we must say that 2728 is a composite number.
- Thus, 2728 is the composite number.
- If we multiply 2728 by 1, 2, 3 then we get the multiples of 2728 which are 2728, 5456 and so on.
About the number 2728:
- 2728 has more than two factors which are 1, 2, 4, 8, 11, 22, 31, 44, 62, 88, 124, 248, 341, 682, 1364 and 2728 and hence it is the composite number.
- 2728 is the even composite number and it is not the perfect square also.
- If we divide 2728 by, 1, 2, 4, 8, 11, 22, 31, 44, 62, 88, 124, 248, 341, 682, 1364 and 2728 then we get remainder as zero. Hence, 1, 2, 4, 8, 11, 22, 31, 44, 62, 88, 124, 248, 341, 682, 1364 and 2728 are the factors of 2728.
Note:
- 2728 is not the perfect square.
- Factors of 2728: 1, 2, 4, 8, 11, 22, 31, 44, 62, 88, 124, 248, 341, 682, 1364 and 2728
- Prime factors of 2728: 2, 7, 11, 31
Conclusion:
- 2728 is the composite number which has factors, 1, 2, 4, 8, 11, 22, 31, 44, 62, 88, 124, 248, 341, 682, 1364 and 2728
- And hence, 2728 is not the prime number.
Multiple Choice Questions:
1) 2728 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 2728 are
a) 2728
b) 2, 7, 11, 31
c) 4, 8, 22, 44, 62, 88, 124, 248, 341, 682, 1364 and 2728
d) 1, 2, 4, 8, 11, 22, 31, 44, 62, 88, 124, 248, 341, 682, 1364 and 2728
Ans: c) 4, 8, 22, 44, 62, 88, 124, 248, 341, 682, 1364 and 2728
3) 2728 is even composite number because
a) It has factors 1, 2, 4, 8, 11, 22, 31, 44, 62, 88, 124, 248, 341, 682, 1364 and 2728
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: d) both a and c