Is 2025 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 2025 is composite or not first we have to find its factors.
Contents
Factors of 2025:
- If we have taken numbers from 1, 2, 3…for checking factors of 2025, we found that 2025 has factors 1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 405, 675 and 2025. Hence, we must say that 2025 is a composite number.
- Thus, 2025 is the composite number.
- If we multiply 2025 by 1, 2, 3 then we get the multiples of 2025 which are 2025, 4050 and so on.
2025 is a Composite number or Prime number
About the number 2025:
- 2025 has more than two factors which are 1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 405, 675 and 2025 and hence it is the composite number.
- 2025 is the odd composite number and it is the perfect square also.
- If we divide 2025 by 1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 405, 675 and 2025 then we get remainder as zero. Hence, 1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 405, 675 and 2025 are the factors of 2025
Note:
- 2025 is the perfect square.
- Factors of 2025: 1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 405, 675 and 2025
- Prime factors of 2025: 3, 5
Conclusion:
- 2025 is the composite number which has factors 1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 405, 675 and 2025.
- And hence, 2025 is not the prime number.
Multiple Choice Questions:
1) 2025 is a
a) Even number
b) Prime number
c) Composite number
d) Both a and c
Ans: c) composite number
2) The non-prime factors of a composite number 2025 are
a) 1
b) 3, 5
c) 1, 9, 15, 25, 27, 45, 75, 81, 135, 225, 405, 675 and 2025
d) 1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 405, 675 and 2025
Ans: c) 1, 9, 15, 25, 27, 45, 75, 81, 135, 225, 405, 675 and 2025
3) 2025 is the odd composite number because
a) It has factors 1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 405, 675 and 2025
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all