If a number is divisible by both 2 and 3, we can say the number is divisible by 6.
This conclusion comes from understanding the rules of divisibility and the concept of the least common multiple (LCM). The number 6 is the smallest number that both 2 and 3 can divide without leaving a remainder.
To elaborate, when a number is divisible by 2, it means that it is an even number. Similarly, if it is divisible by 3, it satisfies the criteria for 3 as well. Since both conditions apply to our number, it indicates that the number can be expressed as a multiple of both 2 and 3 simultaneously. Therefore, we can multiply these two numbers together (2 * 3) to find the least common multiple, which is 6.
In practical terms, any integer that meets the criteria will yield a result that is also a multiple of 6, highlighting the relationship between these divisibility rules.