Is 2114 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 2114 is composite or not first we have to find its factors.
Contents
Factors of 2114:
- If we have taken numbers from 1, 2, 3…for checking factors of 2114, we found that 2114 has factors 1, 2, 7, 14, 151, 302, 1057 and 2114. Hence, we must say that 2114 is a composite number.
- Thus, 2114 is the composite number.
- If we multiply 2114 by 1, 2, 3 then we get the multiples of 2114 which are 2114, 4228 and so on.
About the number 2114:
- 2114 has more than two factors which are 1, 2, 7, 14, 151, 302, 1057 and 2114 and hence it is the composite number.
- 2114 is the even composite number and it is not the perfect square also.
- If we divide 2114 by, 1, 2, 7, 14, 151, 302, 1057 and 2114 then we get remainder as zero. Hence, 1, 2, 7, 14, 151, 302, 1057 and 2114 are the factors of 2114.
Note:
- 2114 is not the perfect square.
- Factors of 2114: 1, 2, 7, 14, 151, 302, 1057 and 2114
- Prime factors of 2114: 2, 7, 151
Conclusion:
- 2114 is the composite number which has factors 1, 2, 7, 14, 151, 302, 1057 and 2114
- And hence, 2114 is not the prime number.
Multiple Choice Questions:
1) 2114 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 2114 are
a) 2114
b) 2, 7, 151
c) 1, 14, 302, 1057 and 2114
d) 1, 2, 7, 14, 151, 302, 1057 and 2114
Ans: c) 1, 14, 302, 1057 and 2114
3) 2114 is composite number because
a) It has factors 1, 2, 7, 14, 151, 302, 1057 and 2114
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: a) it has factors 1, 2, 7, 14, 151, 302, 1057 and 2114