Is 2592 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 2592 is composite or not first we have to find its factors.
Factors of 2592:
- If we have taken numbers from 1, 2, 3…for checking factors of 2592, we found that 2592 has factors 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 81, 96, 108, 144, 162, 216, 288, 324, 432, 648, 864, 1296 and 2592. Hence, we must say that 2592 is a composite number.
- Thus, 2592 is the composite number.
- If we multiply 2592 by 1, 2, 3 then we get the multiples of 2592 which are 2592, 5184 and so on.
About the number 2592:
- 2592 has more than two factors which are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 81, 96, 108, 144, 162, 216, 288, 324, 432, 648, 864, 1296 and 2592 and hence it is the composite number.
- 2592 is the even composite number and it is not the perfect square also.
- If we divide 2592 by, 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 81, 96, 108, 144, 162, 216, 288, 324, 432, 648, 864, 1296 and 2592 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 81, 96, 108, 144, 162, 216, 288, 324, 432, 648, 864, 1296 and 2592 are the factors of 2592.
Note:
- 2592 is not the perfect square.
- Factors of 2592: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 81, 96, 108, 144, 162, 216, 288, 324, 432, 648, 864, 1296 and 2592
- Prime factors of 2592: 2, 3
Conclusion:
- 2592 is the composite number which has factors, 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 81, 96, 108, 144, 162, 216, 288, 324, 432, 648, 864, 1296 and 2592
- And hence, 2592 is not the prime number.
Multiple Choice Questions:
1) 2592 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 2592 are
a) 2592
b) 2, 3
c) 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 81, 96, 108, 144, 162, 216, 288, 324, 432, 648, 864, 1296 and 2592
d) 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 81, 96, 108, 144, 162, 216, 288, 324, 432, 648, 864, 1296 and 2592
Ans: c) 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 81, 96, 108, 144, 162, 216, 288, 324, 432, 648, 864, 1296 and 2592
3) 2592 is even composite number because
a) It has factors 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 81, 96, 108, 144, 162, 216, 288, 324, 432, 648, 864, 1296 and 2592
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: d) both a and c