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A number lies between 2000 and 2070 and has 5 in its ones places. is it a prime or composite number? give reasons.?
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A number lies between 2000 and 2070 and has 5 in its ones places. is i...
Understanding the Number
The number must lie between 2000 and 2070 and have 5 in its ones place. Therefore, the possible numbers are:
Definition of Prime and Composite Numbers
- A **prime number** has exactly two distinct positive divisors: 1 and itself.
- A **composite number** has more than two positive divisors.
Analyzing Each Number
1. **2005**:
- Divisors: 1, 5, 401, 2005 (Composite)
2. **2015**:
- Divisors: 1, 5, 13, 155, 403, 2015 (Composite)
3. **2025**:
- Divisors: 1, 5, 15, 25, 81, 405, 2025 (Composite)
4. **2035**:
- Divisors: 1, 5, 11, 37, 185, 2035 (Composite)
5. **2045**:
- Divisors: 1, 5, 409, 2045 (Composite)
6. **2055**:
- Divisors: 1, 5, 11, 37, 2055 (Composite)
7. **2065**:
- Divisors: 1, 5, 413, 2065 (Composite)
Conclusion
All the numbers listed above are composite numbers because each has more than two positive divisors. Therefore, any number between 2000 and 2070 that ends with a 5 is not prime, but composite.
The number must lie between 2000 and 2070 and have 5 in its ones place. Therefore, the possible numbers are:
- 2005
- 2015
- 2025
- 2035
- 2045
- 2055
- 2065
Definition of Prime and Composite Numbers
- A **prime number** has exactly two distinct positive divisors: 1 and itself.
- A **composite number** has more than two positive divisors.
Analyzing Each Number
1. **2005**:
- Divisors: 1, 5, 401, 2005 (Composite)
2. **2015**:
- Divisors: 1, 5, 13, 155, 403, 2015 (Composite)
3. **2025**:
- Divisors: 1, 5, 15, 25, 81, 405, 2025 (Composite)
4. **2035**:
- Divisors: 1, 5, 11, 37, 185, 2035 (Composite)
5. **2045**:
- Divisors: 1, 5, 409, 2045 (Composite)
6. **2055**:
- Divisors: 1, 5, 11, 37, 2055 (Composite)
7. **2065**:
- Divisors: 1, 5, 413, 2065 (Composite)
Conclusion
All the numbers listed above are composite numbers because each has more than two positive divisors. Therefore, any number between 2000 and 2070 that ends with a 5 is not prime, but composite.
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A number lies between 2000 and 2070 and has 5 in its ones places. is it a prime or composite number? give reasons.?
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A number lies between 2000 and 2070 and has 5 in its ones places. is it a prime or composite number? give reasons.? for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about A number lies between 2000 and 2070 and has 5 in its ones places. is it a prime or composite number? give reasons.? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A number lies between 2000 and 2070 and has 5 in its ones places. is it a prime or composite number? give reasons.?.
A number lies between 2000 and 2070 and has 5 in its ones places. is it a prime or composite number? give reasons.? for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about A number lies between 2000 and 2070 and has 5 in its ones places. is it a prime or composite number? give reasons.? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A number lies between 2000 and 2070 and has 5 in its ones places. is it a prime or composite number? give reasons.?.
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