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{:("Column A", "Column B"),("The number ...

`{:("Column A", "Column B"),("The number of prime number divisible by 2","The number of prime numbers divisible by 3"):}`

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The correct Answer is:
To solve the problem, we need to analyze the number of prime numbers that are divisible by 2 and by 3. ### Step-by-Step Solution: 1. **Understanding Prime Numbers**: - A prime number is defined as a natural number greater than 1 that has no positive divisors other than 1 and itself. Examples include 2, 3, 5, 7, 11, etc. 2. **Column A - Prime Numbers Divisible by 2**: - The only even prime number is 2 itself. - Any other even number greater than 2 is not prime because it can be divided by 2. - Therefore, the only prime number that is divisible by 2 is 2. - **Conclusion for Column A**: There is **1** prime number divisible by 2. 3. **Column B - Prime Numbers Divisible by 3**: - The only prime number that is divisible by 3 is 3 itself. - Similar to the previous case, any other number divisible by 3 (other than 3) is not prime because it has divisors other than 1 and itself. - Therefore, the only prime number that is divisible by 3 is 3. - **Conclusion for Column B**: There is **1** prime number divisible by 3. 4. **Comparing Column A and Column B**: - From our analysis, we found that both Column A and Column B have the same number of prime numbers, which is 1. - Therefore, we can conclude that the entries in both columns are equal. 5. **Final Conclusion**: - Since the number of prime numbers divisible by 2 (Column A) is equal to the number of prime numbers divisible by 3 (Column B), the correct option is that the two columns are equal. ### Final Answer: - The answer is **3** (the columns are equal).
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Knowledge Check

  • The smallest prime number is

    A
    0
    B
    1
    C
    2
    D
    3
  • {:("Column A"," ", "Column B"),("The number of distinct prime factor of x",,"The number of distinct prime factors of 4x"):}

    A
    If column A is larger
    B
    If column B is larger
    C
    If the columns are equal
    D
    If there is not enough information to decide
  • {:("Column A"," ", "Column B"),("The average of three number if the greatest is 20",,"The average of the numbers if the greatest is 2"):}

    A
    If column A is larger
    B
    If column B is larger
    C
    If the columns are equal
    D
    If there is not enough information to decide
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