Is 2084 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 2084 is composite or not first we have to find its factors.
Contents
Factors of 2084:
- If we have taken numbers from 1, 2, 3…for checking factors of 2084, we found that 2084 has factors 1, 2, 4, 521, 1042 and 2084. Hence, we must say that 2084 is a composite number.
- Thus, 2084 is the composite number.
- If we multiply 2084 by 1, 2, 3 then we get the multiples of 2084 which are 2084, 4168 and so on.
About the number 2084:
- 2084 has more than two factors which are 1, 2, 4, 521, 1042 and 2084 and hence it is the composite number.
- 2084 is the even composite number and it is not the perfect square also.
- If we divide 2084 by, 1, 2, 4, 521, 1042 and 2084 then we get remainder as zero. Hence, 1, 2, 4, 521, 1042 and 2084 are the factors of 2084.
Note:
- 2084 is not the perfect square.
- Factors of 2084: 1, 2, 4, 521, 1042 and 2084
- Prime factors of 2084: 2, 521
Conclusion:
- 2084 is the composite number which has factors 1, 2, 4, 521, 1042 and 2084
- And hence, 2084 is not the prime number.
Multiple Choice Questions:
1) 2084 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 2084 are
a) 2084
b) 2, 521
c) 1, 4, 1042 and 2084
d) 1, 2, 4, 521, 1042 and 2084
Ans: c) 1, 4, 1042 and 2084
3) 2084 is composite number because
a) It has factors 1, 2, 4, 521, 1042 and 2084
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: a) it has factors 1, 2, 4, 521, 1042 and 2084