If a number is divisible by 15, which of the following must also be true?
Practice Questions
Q1
If a number is divisible by 15, which of the following must also be true?
It is divisible by 3
It is divisible by 5
It is even
Both 0 and 1 are factors
Questions & Step-by-Step Solutions
If a number is divisible by 15, which of the following must also be true?
Step 1: Understand what it means for a number to be divisible by 15. This means that when you divide the number by 15, there is no remainder.
Step 2: Recognize that 15 can be broken down into its prime factors. The prime factors of 15 are 3 and 5 (since 15 = 3 x 5).
Step 3: Realize that if a number is divisible by 15, it must also be divisible by each of its prime factors. This means it must be divisible by 3 and also by 5.
Step 4: Conclude that if a number is divisible by 15, it must be divisible by both 3 and 5.
Divisibility Rules – A number is divisible by another if it can be divided by that number without leaving a remainder. Specifically, a number divisible by 15 must also be divisible by both 3 and 5, as 15 is the product of these two primes.
