Numbers divisible by 6 are also divisible by 1, 2, and 3.
Here's a breakdown of why:
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Divisibility Rule for 6: A number is divisible by 6 if it is divisible by both 2 and 3.
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Divisibility by 2: A number is divisible by 2 if its last digit is an even number (0, 2, 4, 6, or 8).
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Divisibility by 3: A number is divisible by 3 if the sum of its digits is divisible by 3.
Since a number divisible by 6 must be divisible by both 2 and 3, it's inherently divisible by these two numbers. And, of course, every number is divisible by 1.
Examples:
- 6: Divisible by 1, 2, 3, and 6.
- 12: Divisible by 1, 2, 3, 4, 6, and 12.
- 18: Divisible by 1, 2, 3, 6, 9, and 18.
- 30: Divisible by 1, 2, 3, 5, 6, 10, 15, and 30.
In general, if a number n is divisible by 6, then 6 is a factor of n. This means that any factor of 6 is also a factor of n. The factors of 6 are 1, 2, 3, and 6.
Therefore, numbers divisible by 6 are always divisible by 1, 2, and 3.
