Is 1023 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 1023 is composite or not first we have to find its factors.
Contents
Factors of 1023:
- If we have taken numbers from 1, 2, 3…for checking factors of 1023, we found that 1023 has factors 1, 3, 11, 31, 33, 93, 341 and 1023. Hence, we must say that 1023 is a composite number.
- Thus, 1023 is the composite number.
- If we multiply 1023 by 1, 2, 3 then we get the multiples of 1023 which are 1023, 2036 and so on.
1023 is a Composite number or Prime number
About the number 1023:
- 1023 has more than two factors which are 1, 3, 11, 31, 33, 93, 341 and 1023 and hence it is the composite number.
- 1023 is the odd composite number and it is not the perfect square also.
- If we divide 1023 by 1, 3, 11, 31, 33, 93, 341 and 1023 then we get remainder as zero. Hence, 1, 3, 11, 31, 33, 93, 341 and 1023 are the factors of 1023
Note:
- 1023 is not the perfect square.
- Factors of 1023: 1, 3, 11, 31, 33, 93, 341 and 1023
- Prime factors of 1023: 3, 11, 31
Conclusion:
- 1023 is the composite number which has factors 1, 3, 11, 31, 33, 93, 341 and 1023.
- And hence, 1023 is not the prime number.
Multiple Choice Questions:
1) 1023 is a
a) odd number
b) Prime number
c) Composite number
d) Both a and c
Ans: d) both a and c
2) The prime factors of a composite number 1023 are
a) 1
b) 3, 11, 31
c) 1, 33, 93, 341 and 1023
d) 1, 3, 11, 31, 33, 93, 341 and 1023
Ans: b) 3, 11, 31
3) 1023 is the odd composite number because
a) It has factors 1, 3, 11, 31, 33, 93, 341 and 1023
b) It is divisible by 2
c) It is not divisible by 2
d) Both a and c
Ans: d) both a and c