Complete the Number: Finding Prime Numbers Ending in 1

Fill in the blank for a prime number:

1 \square1

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Fill in the blank for a prime number:

1 \square1

2

Step-by-step solution

To solve the problem, we will follow these steps:

  • Step 1: List down the potential numbers we can form: 11, 51, 81, and 91.
  • Step 2: Identify prime numbers by testing divisibility.

Let's analyze each number:

11: The only divisors of 11 are 1 and 11 itself, which makes it a prime number.

51: Check divisibility: 51 is divisible by 3, thus it is not prime because 51 ÷ 3 = 17.

81: Check divisibility: 81 is divisible by 3 (since 8+1=9, which is divisible by 3). So, 81 ÷ 3 = 27, and it is not a prime.

91: Check divisibility further: 91 is divisible by 7 (as 91 ÷ 7 = 13) which makes it not prime.

After examining each option, 11 is the only prime number.

Therefore, the solution to the problem is 11 11 .

3

Final Answer

1 1

Practice Quiz

Test your knowledge with interactive questions

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

\( n=10 \)

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Division - Advanced questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations