Is 2109 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 2109 is composite or not first we have to find its factors.
Contents
Factors of 2109:
- If we have taken numbers from 1, 2, 3…for checking factors of 2109, we found that 2109 has factors 1, 3, 19, 37, 57, 111, 703 and 2109. Hence, we must say that 2109 is a composite number.
- Thus, 2109 is the composite number.
- If we multiply 2109 by 1, 2, 3 then we get the multiples of 2109 which are 2109, 4218 and so on.
2109 is a Composite number or Prime number
About the number 2109:
- 2109 has more than two factors which are 1, 3, 19, 37, 57, 111, 703 and 2109 and hence it is the composite number.
- 2109 is the odd composite number and it is not the perfect square also.
- If we divide 2109 by 1, 3, 19, 37, 57, 111, 703 and 2109 then we get remainder as zero. Hence, 1, 3, 19, 37, 57, 111, 703 and 2109 are the factors of 2109
Note:
- 2109 is not the perfect square.
- Factors of 2109: 1, 3, 19, 37, 57, 111, 703 and 2109
- Prime factors of 2109: 3, 19, 37
Conclusion:
- 2109 is the composite number which has factors 1, 3, 19, 37, 57, 111, 703 and 2109.
- And hence, 2109 is not the prime number.
Multiple Choice Questions:
1) 2109 is a
a) odd number
b) Prime number
c) Composite number
d) Both a and c
Ans: d) both a and c
2) The prime factors of a composite number 2109 are
a) 1
b) 3, 19, 37
c) 1, 57, 111, 703 and 2109
d) 1, 3, 19, 37, 57, 111, 703 and 2109
Ans: b) 3, 19, 37
3) 2109 is the composite number because
a) It has factors 1, 3, 19, 37, 57, 111, 703 and 2109
b) It has more than two factors
c) It is not divisible by 2
d) Both a and b
Ans: d) both a and b