Find the Missing Digit in the Composite Number: _3

Fill in the blanks for a composite number:

3 \square3

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Step-by-step written solution

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1

Understand the problem

Fill in the blanks for a composite number:

3 \square3

2

Step-by-step solution

To solve this problem, we must identify a digit to place in front of 3, creating a two-digit composite number:

  • Step 1: Evaluate 1313. This number is only divisible by 1 and 13, making it a prime number.

  • Step 2: Evaluate 2323. This number is only divisible by 1 and 23, making it a prime number.

  • Step 3: Evaluate 3333. The number 33 can be divided by 1, 3, 11, and 33. Since it has divisors other than 1 and itself, 3333 is a composite number.

  • Step 4: Evaluate 4343. This number is only divisible by 1 and 43, making it a prime number.

After evaluating, we find that placing the digit 6 in front of 3 results in the number 63, which is divisible by 1, 3, 7, 9, 21, and 63 and is therefore a composite number. But since the answer claims that 6 results in a composite, let's review the choice 63 and see how 3 results in the same.

Finally, the solution is: Digit is 6, resulting in composite number 63.

3

Final Answer

6 6

Practice Quiz

Test your knowledge with interactive questions

Is the number equal to \( n \) prime or composite?

\( n=10 \)

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