Is 2805 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 2805 is composite or not first we have to find its factors.
Contents
Factors of 2805:
- If we have taken numbers from 1, 2, 3…for checking factors of 2805, we found that 2805 has factors 1, 3, 5, 11, 15, 17, 33, 51, 55, 85, 165, 187, 255, 561, 935 and 2805. Hence, we must say that 2805 is a composite number.
- Thus, 2805 is the composite number.
- If we multiply 2805 by 1, 2, 3 then we get the multiples of 2805 which are 2805, 5610 and so on.
2805 is a Composite number or Prime number
About the number 2805:
- 2805 has more than two factors which are 1, 3, 5, 11, 15, 17, 33, 51, 55, 85, 165, 187, 255, 561, 935 and 2805 and hence it is the composite number.
- 2805 is the odd composite number and it is not the perfect square also.
- If we divide 2805 by 1, 3, 5, 11, 15, 17, 33, 51, 55, 85, 165, 187, 255, 561, 935 and 2805 then we get remainder as zero. Hence 1, 3, 5, 11, 15, 17, 33, 51, 55, 85, 165, 187, 255, 561, 935 and 2805 are the factors of 2805
Note:
- 2805 is not the perfect square.
- Factors of 2805: 1, 3, 5, 11, 15, 17, 33, 51, 55, 85, 165, 187, 255, 561, 935 and 2805
- Prime factors of 2805: 3, 5, 11
Conclusion:
- 2805 is the composite number which has factors 1, 3, 5, 11, 15, 17, 33, 51, 55, 85, 165, 187, 255, 561, 935 and 2805.
- And hence, 2805 is not the prime number.
Multiple Choice Questions:
1) 2805 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 2805 are
a) 1
b) 3, 5, 11
c) 1, 3, 5, 11, 15, 17, 33, 51, 55, 85, 165, 187, 255, 561, 935 and 2805
d) 1, 15, 17, 33, 51, 55, 85, 165, 187, 255, 561, 935 and 2805
Ans: d) 1, 15, 17, 33, 51, 55, 85, 165, 187, 255, 561, 935 and 2805
3) 2805 is the odd composite number because
a) It has factors 1, 3, 5, 11, 15, 17, 33, 51, 55, 85, 165, 187, 255, 561, 935 and 2805
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all