Is 3096 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 3096 is composite or not first we have to find its factors.
Contents
Factors of 3096:
- If we have taken numbers from 1, 2, 3…for checking factors of 3096, we found that 3096 has factors 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 43, 72, 86, 129, 172, 258, 344, 387, 516, 774, 1032, 1548 and 3096. Hence, we must say that 3096 is a composite number.
- Thus, 3096 is the composite number.
- If we multiply 3096 by 1, 2, 3 then we get the multiples of 3096 which are 3096, 6192 and so on.
About the number 3096:
- 3096 has more than two factors which are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 43, 72, 86, 129, 172, 258, 344, 387, 516, 774, 1032, 1548 and 3096 and hence it is the composite number.
- 3096 is the even composite number and it is not the perfect square also.
- If we divide 3096 by, 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 43, 72, 86, 129, 172, 258, 344, 387, 516, 774, 1032, 1548 and 3096 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 43, 72, 86, 129, 172, 258, 344, 387, 516, 774, 1032, 1548 and 3096 are the factors of 3096.
Note:
- 3096 is not the perfect square.
- Factors of 3096: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 43, 72, 86, 129, 172, 258, 344, 387, 516, 774, 1032, 1548 and 3096
- Prime factors of 3096: 2, 3, 43
Conclusion:
- 3096 is the composite number which has factors, 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 43, 72, 86, 129, 172, 258, 344, 387, 516, 774, 1032, 1548 and 3096
- And hence, 3096 is not the prime number.
Multiple Choice Questions:
1) 3096 is a
a) Prime number
b) Odd number
c) Composite number
d) Both a and c
Ans: c) composite number
2) The composite factors of a composite number 3096 are
a) 3096
b) 2, 3, 43
c) 4, 6, 8, 9, 12, 18, 24, 36, 72, 86, 129, 172, 258, 344, 387, 516, 774, 1032, 1548 and 3096
d) 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 43, 72, 86, 129, 172, 258, 344, 387, 516, 774, 1032, 1548 and 3096
Ans: c) 4, 6, 8, 9, 12, 18, 24, 36, 72, 86, 129, 172, 258, 344, 387, 516, 774, 1032, 1548 and 3096
3) 3096 is even composite number because
a) It has factors 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 43, 72, 86, 129, 172, 258, 344, 387, 516, 774, 1032, 1548 and 3096
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: d) both a and c