Is 2116 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 2116 is composite or not first we have to find its factors.
Contents
Factors of 2116:
- If we have taken numbers from 1, 2, 3…for checking factors of 2116, we found that 2116 has factors 1, 2, 4, 23, 46, 92, 529, 1058 and 2116. Hence, we must say that 2116 is a composite number.
- Thus, 2116 is the composite number.
- If we multiply 2116 by 1, 2, 3 then we get the multiples of 2116 which are 2116, 4232 and so on.
About the number 2116:
- 2116 has more than two factors which are 1, 2, 4, 23, 46, 92, 529, 1058 and 2116 and hence it is the composite number.
- 2116 is the even composite number and it is the perfect square also.
- If we divide 2116 by, 1, 2, 4, 23, 46, 92, 529, 1058 and 2116 then we get remainder as zero. Hence, 1, 2, 4, 23, 46, 92, 529, 1058 and 2116 are the factors of 2116.
Note:
- 2116 is the perfect square.
- Factors of 2116: 1, 2, 4, 23, 46, 92, 529, 1058 and 2116
- Prime factors of 2116: 2, 23
Conclusion:
- 2116 is the composite number which has factors 1, 2, 4, 23, 46, 92, 529, 1058 and 2116
- And hence, 2116 is not the prime number.
Multiple Choice Questions:
1) 2116 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 2116 are
a) 2116
b) 2, 23
c) 1, 4, 46, 92, 529, 1058 and 2116
d) 1, 2, 4, 23, 46, 92, 529, 1058 and 2116
Ans: c) 1, 4, 46, 92, 529, 1058 and 2116
3) 2116 is composite number because
a) It has factors 1, 2, 4, 23, 46, 92, 529, 1058 and 2116
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: a) it has factors 1, 2, 4, 23, 46, 92, 529, 1058 and 2116