An example of a number divisible by 6 is 12.
Understanding Divisibility by 6
A number is divisible by 6 if it meets two conditions:
- It is divisible by 2 (meaning it's an even number).
- It is divisible by 3 (meaning the sum of its digits is divisible by 3).
Let's break down why 12 works:
- Divisibility by 2: 12 is an even number, so it's divisible by 2.
- Divisibility by 3: The sum of its digits (1 + 2 = 3) is divisible by 3.
Therefore, because 12 satisfies both conditions, it's divisible by 6.
Other Examples
Here are some more examples of numbers divisible by 6, illustrating the rule:
- 18: Even number, and 1 + 8 = 9 (divisible by 3).
- 24: Even number, and 2 + 4 = 6 (divisible by 3).
- 36: Even number, and 3 + 6 = 9 (divisible by 3).
- 60: Even number, and 6 + 0 = 6 (divisible by 3).
- 78: Even number, and 7 + 8 = 15 (divisible by 3) as mentioned in Cuemath.
- 630: Even number, and the sum of its digits is divisible by 3, as noted by Byjus.
Remember, a number must meet both conditions to be divisible by 6. A number divisible by 3 is not automatically divisible by 6 (e.g., 9 is divisible by 3 but not by 6).
