Is 2024 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 2024 is composite or not first we have to find its factors.
Contents
Factors of 2024:
- If we have taken numbers from 1, 2, 3…for checking factors of 2024, we found that 2024 has factors 1, 2, 4, 8, 11, 22, 23, 44, 46, 88, 92, 184, 253, 506, 1012 and 2024. Hence, we must say that 2024 is a composite number.
- Thus, 2024 is the composite number.
- If we multiply 2024 by 1, 2, 3 then we get the multiples of 2024 which are 2024, 4048 and so on.
About the number 2024:
- 2024 has more than two factors which are 1, 2, 4, 8, 11, 22, 23, 44, 46, 88, 92, 184, 253, 506, 1012 and 2024 and hence it is the composite number.
- 2024 is the even composite number and it is not the perfect square also.
- If we divide 2024 by, 1, 2, 4, 8, 11, 22, 23, 44, 46, 88, 92, 184, 253, 506, 1012 and 2024 then we get remainder as zero. Hence, 1, 2, 4, 8, 11, 22, 23, 44, 46, 88, 92, 184, 253, 506, 1012 and 2024 are the factors of 2024.
Note:
- 2024 is not the perfect square.
- Factors of 2024: 1, 2, 4, 8, 11, 22, 23, 44, 46, 88, 92, 184, 253, 506, 1012 and 2024
- Prime factors of 2024: 2, 11, 23
Conclusion:
- 2024 is the composite number which has factors 1, 2, 4, 8, 11, 22, 23, 44, 46, 88, 92, 184, 253, 506, 1012 and 2024
- And hence, 2024 is not the prime number.
Multiple Choice Questions:
1) 2024 is a
a) Prime number
b) Odd number
c) Composite number
d) Both a and c
Ans: c) composite number
2) The non-prime factors of a composite number 2024 are
a) 2024
b) 2, 11, 23
c) 1, 4, 8, 22, 44, 46, 88, 92, 184, 253, 506, 1012 and 2024
d) 1, 2, 4, 8, 11, 22, 23, 44, 46, 88, 92, 184, 253, 506, 1012 and 2024
Ans: c) 1, 4, 8, 22, 44, 46, 88, 92, 184, 253, 506, 1012 and 2024
3) 2024 is composite number because
a) It has factors 1, 2, 4, 8, 11, 22, 23, 44, 46, 88, 92, 184, 253, 506, 1012 and 2024
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: a) it has factors 1, 2, 4, 8, 11, 22, 23, 44, 46, 88, 92, 184, 253, 506, 1012 and 2024