If a number is both a factor of 36 and a multiple of 4, which of the following c

Practice Questions

Q1
If a number is both a factor of 36 and a multiple of 4, which of the following could be that number?
  1. 8
  2. 12
  3. 16
  4. 20

Questions & Step-by-Step Solutions

If a number is both a factor of 36 and a multiple of 4, which of the following could be that number?
  • Step 1: Identify the factors of 36. Factors are numbers that can divide 36 without leaving a remainder.
  • Step 2: List the factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36.
  • Step 3: Identify the multiples of 4. Multiples of 4 are numbers that can be expressed as 4 times an integer.
  • Step 4: List some multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, ...
  • Step 5: Compare the factors of 36 with the multiples of 4 to find common numbers.
  • Step 6: From the factors of 36, check which ones are also multiples of 4. The common number is 12.
  • Step 7: Conclude that 12 is a number that is both a factor of 36 and a multiple of 4.
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