Construct an Even Number: Divisibility Test with 8, 1, 3, 7

Look at the following digits:

8, 1, 3, 7

Create a number using these digits that results in a whole number when divided by 2.

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Compose a number that is divisible by 2
00:04 A number where the ones digit is even is divisible by 2
00:09 According to this method, we will go through all numbers and eliminate accordingly
00:28 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Look at the following digits:

8, 1, 3, 7

Create a number using these digits that results in a whole number when divided by 2.

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify and understand the requirement for divisibility by 2.
  • Step 2: Determine the potential numbers by rearranging the digits to satisfy the divisibility rule.
  • Step 3: Confirm by checking the last digit of the arranged number.

Now, let's work through each step:
Step 1: A number is divisible by 2 if its last digit is even. Among the given digits (8, 1, 3, 7), only 8 is even.
Step 2: Rearrange the digits so that the last digit is 8. Potentially, using all digits, the number 1378 can be formed.
Step 3: Check that 1378 ends with 8, confirming it is divisible by 2.

Therefore, the solution to the problem is 1378.

3

Final Answer

1378

Practice Quiz

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Is the number 10 divisible by 4?

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