Is 4592 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 4592 is composite or not first we have to find its factors.
Contents
Factors of 4592:
- If we have taken numbers from 1, 2, 3…for checking factors of 4592 we found that 4592 has factors 1, 2, 4, 7, 8, 14, 16, 28, 41, 56, 82, 112, 164, 287, 328, 574, 656, 1148, 2296 and 4592. Hence, we must say that 4592 is a composite number.
- Thus, 4592 is the composite number.
- If we multiply 4592 by 1, 2, 3 then we get the multiples of 4592 which are 4592, 9184 and so on.
About the number 4592:
- 4592 has more than two factors which are 1, 2, 4, 7, 8, 14, 16, 28, 41, 56, 82, 112, 164, 287, 328, 574, 656, 1148, 2296 and 4592 and hence it is the composite number.
- 4592 is the even composite number and it is not the perfect square also.
- If we divide 4592 by, 1, 2, 4, 7, 8, 14, 16, 28, 41, 56, 82, 112, 164, 287, 328, 574, 656, 1148, 2296 and 4592 then we get remainder as zero. Hence, 1, 2, 4, 7, 8, 14, 16, 28, 41, 56, 82, 112, 164, 287, 328, 574, 656, 1148, 2296 and 4592 are the factors of 4592.
Note:
- 4592 is not the perfect square.
- Factors of 4592: 1, 2, 4, 7, 8, 14, 16, 28, 41, 56, 82, 112, 164, 287, 328, 574, 656, 1148, 2296 and 4592
- Prime factors of 4592: 2, 7, 41
Conclusion:
- 4592 is the composite number which has factors, 1, 2, 4, 7, 8, 14, 16, 28, 41, 56, 82, 112, 164, 287, 328, 574, 656, 1148, 2296 and 4592
- And hence, 4592 is not the prime number.
Multiple Choice Questions:
1) 4592 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 4592 are
a) 4592
b) 2, 7, 41
c) 4, 8, 14, 16, 28, 56, 82, 112, 164, 287, 328, 574, 656, 1148, 2296 and 4592
d) 1, 2, 4, 7, 8, 14, 16, 28, 41, 56, 82, 112, 164, 287, 328, 574, 656, 1148, 2296 and 4592
Ans: c) 4, 8, 14, 16, 28, 56, 82, 112, 164, 287, 328, 574, 656, 1148, 2296 and 4592
3) 4592 is composite number because
a) It has factors 1, 2, 4, 7, 8, 14, 16, 28, 41, 56, 82, 112, 164, 287, 328, 574, 656, 1148, 2296 and 4592
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b