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The numbers which are not only divisible...

The numbers which are not only divisible by themselves but also divisible by 1 are known as

A

odd numbers

B

composite numbers

C

even numbers

D

integers

Text Solution

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The correct Answer is:
To solve the question, "The numbers which are not only divisible by themselves but also divisible by 1 are known as," we will analyze the options provided: odd numbers, even numbers, prime numbers, and whole numbers. ### Step-by-Step Solution: 1. **Understanding the Question**: We need to identify a category of numbers that are divisible by themselves and also by 1. 2. **Analyzing Odd Numbers**: - Odd numbers are defined as numbers that are not divisible by 2 (e.g., 1, 3, 5, 7, 9, ...). - All odd numbers are divisible by themselves and by 1. - However, not all odd numbers fit the criteria of the question since they can have other divisors (e.g., 9 is divisible by 1 and 3). **Conclusion**: Odd numbers do not exclusively fit the criteria. 3. **Analyzing Even Numbers**: - Even numbers are defined as numbers that are divisible by 2 (e.g., 2, 4, 6, 8, ...). - Like odd numbers, even numbers are also divisible by themselves and by 1. - However, similar to odd numbers, they can also have other divisors. **Conclusion**: Even numbers do not exclusively fit the criteria either. 4. **Analyzing Whole Numbers**: - Whole numbers include all non-negative integers starting from 0 (e.g., 0, 1, 2, 3, ...). - Whole numbers are divisible by themselves and by 1. - However, they also include numbers that can have other divisors. **Conclusion**: Whole numbers do not exclusively fit the criteria. 5. **Analyzing Prime Numbers**: - Prime numbers are defined as numbers greater than 1 that have no positive divisors other than 1 and themselves (e.g., 2, 3, 5, 7, 11, ...). - By definition, prime numbers are only divisible by 1 and themselves. **Conclusion**: Prime numbers fit the criteria perfectly. 6. **Final Answer**: The numbers which are not only divisible by themselves but also divisible by 1 are known as **prime numbers**.
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