Complete the number so that it is divisible by 4 without a remainder:
21 — —
To solve the problem, we will ensure the two-digit number formed from the missing blanks at the end of 21 is divisible by 4. This requires performing the following steps:
- Step 1: Identify combinations for the blanks. Since this is a two-digit number, consider each combination within the range of numbers provided.
- Step 2: Check divisibility. Once the numbers are identified, check if they are divisible by 4.
- Step 3: Validate the correct number. The rule is that it must divide evenly with no remainder.
Numbers formed by potential combinations from the given choices are:
- 212, 214
Now, let's check each of these numbers:
- 212: Dividing 212 by 4 gives 212÷4=53. This is an integer, meaning 212 is divisible by 4.
- 214: Dividing 214 by 4 gives 214÷4=53.5. This is not an integer, hence 214 is not divisible by 4.
After evaluation, the number 212 is divisible by 4.
The numbers that fill the blanks and ensure divisibility by 4 are 2, 4.