Is 2835 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 2835 is composite or not first we have to find its factors.
Contents
Factors of 2835:
- If we have taken numbers from 1, 2, 3…for checking factors of 2835, we found that 2835 has factors 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 81, 105, 135, 189, 315, 405, 567, 945 and 2835. Hence, we must say that 2835 is a composite number.
- Thus, 2835 is the composite number.
- If we multiply 2835 by 1, 2, 3 then we get the multiples of 2835 which are 2835, 5670 and so on.
2835 is a Composite number or Prime number
About the number 2835:
- 2835 has more than two factors which are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 81, 105, 135, 189, 315, 405, 567, 945 and 2835 and hence it is the composite number.
- 2835 is the odd composite number and it is not the perfect square also.
- If we divide 2835 by 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 81, 105, 135, 189, 315, 405, 567, 945 and 2835 then we get remainder as zero. Hence 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 81, 105, 135, 189, 315, 405, 567, 945 and 2835 are the factors of 2835
Note:
- 2835 is not the perfect square.
- Factors of 2835: 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 81, 105, 135, 189, 315, 405, 567, 945 and 2835
- Prime factors of 2835: 3, 5, 7
Conclusion:
- 2835 is the composite number which has factors 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 81, 105, 135, 189, 315, 405, 567, 945 and 2835.
- And hence, 2835 is not the prime number.
Multiple Choice Questions:
1) 2835 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 2835 are
a) 1
b) 3, 5, 7
c) 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 81, 105, 135, 189, 315, 405, 567, 945 and 2835
d) 1, 9, 15, 21, 27, 35, 45, 63, 81, 105, 135, 189, 315, 405, 567, 945 and 2835
Ans: d) 1, 9, 15, 21, 27, 35, 45, 63, 81, 105, 135, 189, 315, 405, 567, 945 and 2835
3) 2835 is the odd composite number because
a) It has factors 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 81, 105, 135, 189, 315, 405, 567, 945 and 2835
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all