Is 4296 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 4296 is composite or not first we have to find its factors.
Contents
Factors of 4296:
- If we have taken numbers from 1, 2, 3…for checking factors of 4296 we found that 4296 has factors 1, 2, 3, 4, 6, 8, 12, 24, 179, 358, 537, 716, 1074, 1432, 2148 and 4296. Hence, we must say that 4296 is a composite number.
- Thus, 4296 is the composite number.
- If we multiply 4296 by 1, 2, 3 then we get the multiples of 4296 which are 4296, 8592 and so on.
About the number 4296:
- 4296 has more than two factors which are 1, 2, 3, 4, 6, 8, 12, 24, 179, 358, 537, 716, 1074, 1432, 2148 and 4296 and hence it is the composite number.
- 4296 is the even composite number and it is not the perfect square also.
- If we divide 4296 by, 1, 2, 3, 4, 6, 8, 12, 24, 179, 358, 537, 716, 1074, 1432, 2148 and 4296 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 8, 12, 24, 179, 358, 537, 716, 1074, 1432, 2148 and 4296 are the factors of 4296.
Note:
- 4296 is not the perfect square.
- Factors of 4296: 1, 2, 3, 4, 6, 8, 12, 24, 179, 358, 537, 716, 1074, 1432, 2148 and 4296
- Prime factors of 4296: 2, 3, 179
Conclusion:
- 4296 is the composite number which has factors, 1, 2, 3, 4, 6, 8, 12, 24, 179, 358, 537, 716, 1074, 1432, 2148 and 4296
- And hence, 4296 is not the prime number.
Multiple Choice Questions:
1) 4296 is a
a) Prime number
b) Even number
c) Composite number
d) Both b and c
Ans: d) both b and c
2) The composite factors of a composite number 4296 are
a) 4296
b) 2, 3, 179
c) 4, 6, 8, 12, 24, 358, 537, 716, 1074, 1432, 2148 and 4296
d) 1, 2, 3, 4, 6, 8, 12, 24, 179, 358, 537, 716, 1074, 1432, 2148 and 4296
Ans: c) 4, 6, 8, 12, 24, 358, 537, 716, 1074, 1432, 2148 and 4296
3) 4296 is composite number because
a) It has factors 1, 2, 3, 4, 6, 8, 12, 24, 179, 358, 537, 716, 1074, 1432, 2148 and 4296
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b