Is 1024 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 1024 is composite or not first we have to find its factors.
Contents
Factors of 1024:
- If we have taken numbers from 1, 2, 3…for checking factors of 1024, we found that 1024 has factors 1, 2, 4, 8, 16, 32, 64, 128, 256, 512 and 1024. Hence, we must say that 1024 is a composite number.
- Thus, 1024 is the composite umber.
- If we multiply 1024 by 1, 2, 3 then we get the multiples of 1024 which are 1024, 2048 and so on.
About the number 1024:
- 1024 has more than two factors which are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512 and 1024 and hence it is the composite number.
- 1024 is the even composite number and it is the perfect square also.
- If we divide 1024 by 1, 2, 4, 8, 16, 32, 64, 128, 256, 512 and 1024 then we get remainder as zero. Hence, 1, 2, 4, 8, 16, 32, 64, 128, 256, 512 and 1024 are the factors of 1024.
Note:
- 1024 is the perfect square.
- Factors of 1024: 1, 2, 4, 8, 16, 32, 64, 128, 256, 512 and 1024
- Prime factors of 1024: 2
Conclusion:
- 1024 is the composite number which has factors 1, 2, 4, 8, 16, 32, 64, 128, 256, 512 and 1024
- And hence, 1024 is not the prime number.
Multiple Choice Questions:
1) 1024 is a
a) Even number
b) Prime number
c) Composite number
d) Both a and c
Ans: d) both a and c
2) The non-prime factors of a composite number 1024 are
a) 1
b) 2
c) 1, 4, 8, 16, 32, 64, 128, 256, 512 and 1024
d) 1, 2, 4, 8, 16, 32, 64, 128, 256, 512 and 1024
Ans: c) 1, 4, 8, 16, 32, 64, 128, 256, 512 and 1024
3) 1024 is even the composite number because
a) It has factors1, 2, 4, 8, 16, 32, 64, 128, 256, 512 and 1024
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all