Is 3105 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 3105 is composite or not first we have to find its factors.
Contents
Factors of 3105:
- If we have taken numbers from 1, 2, 3…for checking factors of 3105, we found that 3105 has factors 1, 3, 5, 9, 15, 23, 27, 45, 69, 115, 135, 207, 345, 621, 1035 and 3105. Hence, we must say that 3105 is a composite number.
- Thus, 3105 is the composite number.
- If we multiply 3105 by 1, 2, 3 then we get the multiples of 3105 which are 3105, 6210 and so on.
3105 is a Composite number or Prime number
About the number 3105:
- 3105 has more than two factors which are 1, 3, 5, 9, 15, 23, 27, 45, 69, 115, 135, 207, 345, 621, 1035 and 3105 and hence it is the composite number.
- 3105 is the odd composite number and it is not the perfect square also.
- If we divide 3105 by 1, 3, 5, 9, 15, 23, 27, 45, 69, 115, 135, 207, 345, 621, 1035 and 3105 then we get remainder as zero. Hence 1, 3, 5, 9, 15, 23, 27, 45, 69, 115, 135, 207, 345, 621, 1035 and 3105 are the factors of 3105
Note:
- 3105 is not the perfect square.
- Factors of 3105: 1, 3, 5, 9, 15, 23, 27, 45, 69, 115, 135, 207, 345, 621, 1035 and 3105
- Prime factors of 3105: 3, 5, 23
Conclusion:
- 3105 is the composite number which has factors 1, 3, 5, 9, 15, 23, 27, 45, 69, 115, 135, 207, 345, 621, 1035 and 3105.
- And hence, 3105 is not the prime number.
Multiple Choice Questions:
1) 3105 is a
a) odd number
b) Prime number
c) even number
d) Both a and c
Ans: a) odd number
2) The non-prime factors of a composite number 3105 are
a) 1
b) 3, 5, 23
c) 1, 3, 5, 9, 15, 23, 27, 45, 69, 115, 135, 207, 345, 621, 1035 and 3105
d) 1, 9, 15, 27, 45, 69, 115, 135, 207, 345, 621, 1035 and 3105
Ans: d) 1, 9, 15, 27, 45, 69, 115, 135, 207, 345, 621, 1035 and 3105
3) 3105 is the odd composite number because
a) It has factors 1, 3, 5, 9, 15, 23, 27, 45, 69, 115, 135, 207, 345, 621, 1035 and 3105
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all
Why the below numbers are composite numbers
- Is 3101 a Composite number- Click Here
- Is 3103 a Composite number- Click Here