Is 2108 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 2108 is composite or not first we have to find its factors.
Contents
Factors of 2108:
- If we have taken numbers from 1, 2, 3…for checking factors of 2108, we found that 2108 has factors 1, 2, 4, 17, 31, 34, 62, 68, 124, 527, 1054 and 2108. Hence, we must say that 2108 is a composite number.
- Thus, 2108 is the composite number.
- If we multiply 2108 by 1, 2, 3 then we get the multiples of 2108 which are 2108, 4216 and so on.
About the number 2108:
- 2108 has more than two factors which are 1, 2, 4, 17, 31, 34, 62, 68, 124, 527, 1054 and 2108 and hence it is the composite number.
- 2108 is the even composite number and it is not the perfect square also.
- If we divide 2108 by, 1, 2, 4, 17, 31, 34, 62, 68, 124, 527, 1054 and 2108 then we get remainder as zero. Hence, 1, 2, 4, 17, 31, 34, 62, 68, 124, 527, 1054 and 2108 are the factors of 2108.
Note:
- 2108 is not the perfect square.
- Factors of 2108: 1, 2, 4, 17, 31, 34, 62, 68, 124, 527, 1054 and 2108
- Prime factors of 2108: 2, 17, 31
Conclusion:
- 2108 is the composite number which has factors 1, 2, 4, 17, 31, 34, 62, 68, 124, 527, 1054 and 2108
- And hence, 2108 is not the prime number.
Multiple Choice Questions:
1) 2108 is a
a) Prime number
b) Odd number
c) Composite number
d) Both a and c
Ans: c) composite number
2) The non-prime factors of a composite number 2108 are
a) 2108
b) 2, 17, 31
c) 1, 4, 34, 62, 68, 124, 527, 1054 and 2108
d) 1, 2, 4, 17, 31, 34, 62, 68, 124, 527, 1054 and 2108
Ans: c) 1, 4, 34, 62, 68, 124, 527, 1054 and 2108
3) 2108 is composite number because
a) It has factors 1, 2, 4, 17, 31, 34, 62, 68, 124, 527, 1054 and 2108
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: a) it has factors 1, 2, 4, 17, 31, 34, 62, 68, 124, 527, 1054 and 2108