Divisibility
The ability for one number to be divided by another number without a remainder
Divisibility is the property of a number that allows it to be divided by another number without a remainder. In other words, if a number can be divided evenly by another number, we say that the former is divisible by the latter. For example, 12 is divisible by 3 since 12 can be divided evenly by 3, producing an integer (4).
There are certain rules that can be used to determine whether a number is divisible by another number. These rules can be helpful in performing calculations or in problem-solving situations. Here are some common divisibility rules:
1. Divisibility by 2: A number is divisible by 2 if its last digit is even (i.e., 0, 2, 4, 6, or 8).
2. Divisibility by 3: A number is divisible by 3 if the sum of its digits is divisible by 3.
3. Divisibility by 4: A number is divisible by 4 if its last two digits are divisible by 4.
4. Divisibility by 5: A number is divisible by 5 if its last digit is either 0 or 5.
5. Divisibility by 6: A number is divisible by 6 if it is divisible by both 2 and 3.
6. Divisibility by 9: A number is divisible by 9 if the sum of its digits is divisible by 9.
7. Divisibility by 10: A number is divisible by 10 if its last digit is 0.
These rules are useful in quickly determining whether a number is divisible by another number. However, it’s important to note that they are not foolproof and may not work for all numbers. In general, it’s best to use these rules as a starting point and then use other problem-solving strategies as needed.
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