If a number is divisible by both 4 and 6, what is the smallest possible value?

Practice Questions

Q1
If a number is divisible by both 4 and 6, what is the smallest possible value?
  1. 12
  2. 24
  3. 36
  4. 48

Questions & Step-by-Step Solutions

If a number is divisible by both 4 and 6, what is the smallest possible value?
Correct Answer: 12
  • Step 1: Understand what it means for a number to be divisible by another number. A number is divisible by another if you can divide it by that number without leaving a remainder.
  • Step 2: Identify the two numbers we are working with: 4 and 6.
  • Step 3: Find the multiples of 4. The first few multiples are 4, 8, 12, 16, 20, ...
  • Step 4: Find the multiples of 6. The first few multiples are 6, 12, 18, 24, ...
  • Step 5: Look for the smallest number that appears in both lists of multiples. The multiples of 4 are 4, 8, 12, ... and the multiples of 6 are 6, 12, ...
  • Step 6: The smallest number that is in both lists is 12.
  • Step 7: Therefore, the smallest number that is divisible by both 4 and 6 is 12.
  • Divisibility and Least Common Multiple (LCM) – Understanding how to find the least common multiple of two numbers to determine the smallest number that is divisible by both.
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