Is 4095 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 4095 is composite or not first we have to find its factors.
Factors of 4095:
- If we have taken numbers from 1, 2, 3…for checking factors of 4095, we found that 4095 has factors 1, 3, 5, 7, 9, 13, 15, 21, 35, 39, 45, 63, 65, 91, 105, 117, 195, 273, 315, 455, 585, 819, 1365 and 4095. Hence, we must say that 4095 is a composite number.
- Thus, 4095 is the composite number.
- If we multiply 4095 by 1, 2, 3 then we get the multiples of 4095 which are 4095, 8190 and so on.
4095 is a Composite number or Prime number
About the number 4095:
- 4095 has more than two factors which are 1, 3, 5, 7, 9, 13, 15, 21, 35, 39, 45, 63, 65, 91, 105, 117, 195, 273, 315, 455, 585, 819, 1365 and 4095 and hence it is the composite number.
- 4095 is the odd composite number and it is not the perfect square also.
- If we divide 4095 by 1, 3, 5, 7, 9, 13, 15, 21, 35, 39, 45, 63, 65, 91, 105, 117, 195, 273, 315, 455, 585, 819, 1365 and 4095 then we get remainder as zero. Hence 1, 3, 5, 7, 9, 13, 15, 21, 35, 39, 45, 63, 65, 91, 105, 117, 195, 273, 315, 455, 585, 819, 1365 and 4095 are the factors of 4095
Note:
- 4095 is not the perfect square.
- Factors of 4095:1, 3, 5, 7, 9, 13, 15, 21, 35, 39, 45, 63, 65, 91, 105, 117, 195, 273, 315, 455, 585, 819, 1365 and 4095
- Prime factors of 4095: 3, 5, 7, 13
Conclusion:
- 4095 is the composite number which has factors 1, 3, 5, 7, 9, 13, 15, 21, 35, 39, 45, 63, 65, 91, 105, 117, 195, 273, 315, 455, 585, 819, 1365 and 4095.
- And hence, 4095 is not the prime number.
Multiple Choice Questions:
1) 4095 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 4095 are
a) 1
b) 3, 5, 7, 13
c) 1, 3, 5, 7, 9, 13, 15, 21, 35, 39, 45, 63, 65, 91, 105, 117, 195, 273, 315, 455, 585, 819, 1365 and 4095
d) 1, 9, 15, 21, 35, 39, 45, 63, 65, 91, 105, 117, 195, 273, 315, 455, 585, 819, 1365 and 4095
Ans: d)1, 9, 15, 21, 35, 39, 45, 63, 65, 91, 105, 117, 195, 273, 315, 455, 585, 819, 1365 and 4095
3) 4095 is the odd composite number because
a) It has factors 1, 3, 5, 7, 9, 13, 15, 21, 35, 39, 45, 63, 65, 91, 105, 117, 195, 273, 315, 455, 585, 819, 1365 and 4095
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all
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