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If a number is divisible by both 2 and 5, what can be said about it?
Practice Questions
Q1
If a number is divisible by both 2 and 5, what can be said about it?
It is odd
It is a multiple of 10
It is a prime number
It is a multiple of 20
Questions & Step-by-Step Solutions
If a number is divisible by both 2 and 5, what can be said about it?
Steps
Concepts
Step 1: Understand what it means for a number to be divisible by 2. A number is divisible by 2 if it is even, which means it ends in 0, 2, 4, 6, or 8.
Step 2: Understand what it means for a number to be divisible by 5. A number is divisible by 5 if it ends in 0 or 5.
Step 3: Since the number must be divisible by both 2 and 5, it must satisfy both conditions at the same time.
Step 4: The only digit that satisfies both conditions (ending in 0 for 2 and 0 or 5 for 5) is 0.
Step 5: Therefore, if a number is divisible by both 2 and 5, it must end in 0.
Step 6: A number that ends in 0 is a multiple of 10.
No concepts available.
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