If a number is a factor of 24 and a multiple of 3, which of the following could

Practice Questions

Q1
If a number is a factor of 24 and a multiple of 3, which of the following could be that number?
  1. 6
  2. 8
  3. 10
  4. 12

Questions & Step-by-Step Solutions

If a number is a factor of 24 and a multiple of 3, which of the following could be that number?
  • Step 1: Understand what a factor is. A factor of a number is a whole number that can divide that number without leaving a remainder.
  • Step 2: Identify the factors of 24. The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.
  • Step 3: Understand what a multiple is. A multiple of a number is the result of multiplying that number by an integer.
  • Step 4: Identify the multiples of 3. The multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, and so on.
  • Step 5: Find the common numbers between the factors of 24 and the multiples of 3. Look for numbers that appear in both lists.
  • Step 6: The common numbers are 3, 6, and 12. These numbers are both factors of 24 and multiples of 3.
  • Step 7: Choose one of the common numbers. For example, 6 is a valid choice.
  • Factors and Multiples – Understanding the definitions of factors (numbers that divide another number without a remainder) and multiples (numbers that can be divided by another number without a remainder).
  • Divisibility Rules – Applying rules to determine if a number is a multiple of another, particularly for small integers like 3.
  • Set Intersection – Identifying numbers that belong to both sets: factors of 24 and multiples of 3.
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