Is 2304 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 2304 is composite or not first we have to find its factors.
Contents
Factors of 2304:
- If we have taken numbers from 1, 2, 3…for checking factors of 2304, we found that 2304 has factors 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 256, 288, 384, 576, 768, 1152 and 2304. Hence, we must say that 2304 is a composite number.
- Thus, 2304 is the composite number.
- If we multiply 2304 by 1, 2, 3 then we get the multiples of 2304 which are 2304, 4608 and so on.
About the number 2304:
- 2304 has more than two factors which are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 256, 288, 384, 576, 768, 1152 and 2304 and hence it is the composite number.
- 2304 is the even composite number and it is the perfect square also.
- If we divide 2304 by, 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 256, 288, 384, 576, 768, 1152 and 2304 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 256, 288, 384, 576, 768, 1152 and 2304 are the factors of 2304.
Note:
- 2304 is the perfect square.
- Factors of 2304: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 256, 288, 384, 576, 768, 1152 and 2304
- Prime factors of 2304: 2, 3
Conclusion:
- 2304 is the composite number which has factors 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 256, 288, 384, 576, 768, 1152 and 2304
- And hence, 2304 is not the prime number.
Multiple Choice Questions:
1) 2304 is a
a) Even number
b) Odd number
c) Composite number
d) Both a and c
Ans: d) both a and d
2) The prime factors of a composite number 2304 are
a) 2304
b) 2, 3
c) 1, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 256, 288, 384, 576, 768, 1152 and 2304
d) 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 256, 288, 384, 576, 768, 1152 and 2304
Ans: b) 2, 3
3) 2304 is composite number because
a) It has factors 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 256, 288, 384, 576, 768, 1152 and 2304
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b