Is 1845 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 1845 is composite or not first we have to find its factors.
Contents
Factors of 1845:
- If we have taken numbers from 1, 2, 3…for checking factors of 1845, we found that 1845 has factors 1, 3, 5, 9, 15, 41, 45, 123, 205, 369, 615 and 1845. Hence, we must say that 1845 is a composite number.
- Thus, 1845 is the composite number.
- If we multiply 1845 by 1, 2, 3 then we get the multiples of 1845 which are 1845, 3690 and so on.
1845 is a Composite number or Prime number
About the number 1845:
- 1845 has more than two factors which are 1, 3, 5, 9, 15, 41, 45, 123, 205, 369, 615 and 1845 and hence it is the composite number.
- 1845 is the odd composite number and it is not the perfect square also.
- If we divide 1845 by 1, 3, 5, 9, 15, 41, 45, 123, 205, 369, 615 and 1845 then we get remainder as zero. Hence, 1, 3, 5, 9, 15, 41, 45, 123, 205, 369, 615 and 1845 are the factors of 1845
Note:
- 1845 is not the perfect square.
- Factors of 1845: 1, 3, 5, 9, 15, 41, 45, 123, 205, 369, 615 and 1845
- Prime factors of 1845: 3, 5, 41
Conclusion:
- 1845 is the composite number which has factors 1, 3, 5, 9, 15, 41, 45, 123, 205, 369, 615 and 1845.
- And hence, 1845 is not the prime number.
Multiple Choice Questions:
1) 1845 is a
a) Even number
b) Prime number
c) Composite number
d) Both a and c
Ans: c) composite number
2) The non-prime factors of a composite number 1845 are
a) 1
b) 3, 5, 41
c) 1, 9, 15, 45, 123, 205, 369, 615 and 1845
d) 1, 3, 5, 9, 15, 41, 45, 123, 205, 369, 615 and 1845
Ans: b) 1, 9, 15, 45, 123, 205, 369, 615 and 1845
3) 1845 is the odd composite number because
a) It has factors 1, 3, 5, 9, 15, 41, 45, 123, 205, 369, 615 and 1845
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all