If a number is divisible by 15, which of the following must it also be divisible

Practice Questions

Q1
If a number is divisible by 15, which of the following must it also be divisible by?
  1. 3
  2. 5
  3. 15
  4. All of the above

Questions & Step-by-Step Solutions

If a number is divisible by 15, which of the following must it also be divisible by?
  • 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 them without leaving a remainder.
  • Step 2: Identify the number in question, which is 15.
  • Step 3: Factor the number 15 into its prime factors. The prime factors of 15 are 3 and 5 (since 15 = 3 * 5).
  • Step 4: Realize that if a number is divisible by 15, it must also be divisible by each of its prime factors, which are 3 and 5.
  • Step 5: Conclude that any number that is divisible by 15 is also divisible by both 3 and 5.
  • Divisibility Rules – Understanding that a number divisible by a composite number is also divisible by its prime factors.
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