Question: If a number is divisible by 15, which of the following must it also be divisible by?
Options:
3
5
15
All of the above
Correct Answer: All of the above
Solution:
A number divisible by 15 is also divisible by both 3 and 5, as 15 is the product of these two primes.
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?
3
5
15
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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