Is 2295 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 2295 is composite or not first we have to find its factors.
Contents
Factors of 2295:
- If we have taken numbers from 1, 2, 3…for checking factors of 2295, we found that 2295 has factors 1, 3, 5, 9, 15, 17, 27, 45, 51, 85, 135, 153, 255, 459, 765 and 2295. Hence, we must say that 2295 is a composite number.
- Thus, 2295 is the composite number.
- If we multiply 2295 by 1, 2, 3 then we get the multiples of 2295 which are 2295, 4590 and so on.
2295 is a Composite number or Prime number
About the number 2295:
- 2295 has more than two factors which are 1, 3, 5, 9, 15, 17, 27, 45, 51, 85, 135, 153, 255, 459, 765 and 2295 and hence it is the composite number.
- 2295 is the odd composite number and it is not the perfect square also.
- If we divide 2295 by 1, 3, 5, 9, 15, 17, 27, 45, 51, 85, 135, 153, 255, 459, 765 and 2295 then we get remainder as zero. Hence, 1, 3, 5, 9, 15, 17, 27, 45, 51, 85, 135, 153, 255, 459, 765 and 2295 are the factors of 2295
Note:
- 2295 is not the perfect square.
- Factors of 2295: 1, 3, 5, 9, 15, 17, 27, 45, 51, 85, 135, 153, 255, 459, 765 and 2295
- Prime factors of 2295: 3, 5, 17
Conclusion:
- 2295 is the composite number which has factors 1, 3, 5, 9, 15, 17, 27, 45, 51, 85, 135, 153, 255, 459, 765 and 2295.
- And hence, 2295 is not the prime number.
Multiple Choice Questions:
1) 2295 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 2295 are
a) 1
b) 3, 5, 17
c) 1 and 2295
d) 1, 3, 5, 9, 15, 17, 27, 45, 51, 85, 135, 153, 255, 459, 765 and 2295
Ans: b) 3, 5, 17
3) 2295 is the composite number because
a) It has factors 1, 3, 5, 9, 15, 17, 27, 45, 51, 85, 135, 153, 255, 459, 765 and 2295
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