Is 3075 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 3075 is composite or not first we have to find its factors.
Contents
Factors of 3075:
- If we have taken numbers from 1, 2, 3…for checking factors of 3075, we found that 3075 has factors 1, 3, 5, 15, 25, 41, 75, 123, 205, 615, 1025 and 3075. Hence, we must say that 3075 is a composite number.
- Thus, 3075 is the composite number.
- If we multiply 3075 by 1, 2, 3 then we get the multiples of 3075 which are 3075, 6150 and so on.
3075 is a Composite number or Prime number
About the number 3075:
- 3075 has more than two factors which are 1, 3, 5, 15, 25, 41, 75, 123, 205, 615, 1025 and 3075 and hence it is the composite number.
- 3075 is the odd composite number and it is not the perfect square also.
- If we divide 3075 by 1, 3, 5, 15, 25, 41, 75, 123, 205, 615, 1025 and 3075 then we get remainder as zero. Hence 1, 3, 5, 15, 25, 41, 75, 123, 205, 615, 1025 and 3075 are the factors of 3075
Note:
- 3075 is not the perfect square.
- Factors of 3075: 1, 3, 5, 15, 25, 41, 75, 123, 205, 615, 1025 and 3075
- Prime factors of 3075: 3, 5, 41
Conclusion:
- 3075 is the composite number which has factors 1, 3, 5, 15, 25, 41, 75, 123, 205, 615, 1025 and 3075.
- And hence, 3075 is not the prime number.
Multiple Choice Questions:
1) 3075 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 3075 are
a) 1
b) 3, 5, 41
c) 1, 3, 5, 15, 25, 41, 75, 123, 205, 615, 1025 and 3075
d) 1, 15, 25, 75, 123, 205, 615, 1025 and 3075
Ans: d) 1, 15, 25, 75, 123, 205, 615, 1025 and 3075
3) 3075 is the odd composite number because
a) It has factors 1, 3, 5, 15, 25, 41, 75, 123, 205, 615, 1025 and 3075
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all