What does Divisibility mean and how do you test for it?(2 points)
Divisibility is the property of being able to divide one number evenly into another without leaving a remainder.
To test for divisibility, there are specific rules or criteria depending on the divisor. The most common ones are:
1. Divisibility by 2: A number is divisible by 2 if it ends in 0, 2, 4, 6, or 8. For example, 568 is divisible by 2 because its last digit is 8.
2. Divisibility by 3: A number is divisible by 3 if the sum of its digits is divisible by 3. For example, 738 is divisible by 3 because 7+3+8=18, and 18 is divisible by 3.
Divisibility refers to the ability of one number to be divided by another number without leaving a remainder. In other words, if one number is divisible by another, it means that it can be divided evenly by that number.
To test for divisibility, you can use various rules or tests depending on the divisor (the number you want to divide by). Here are two commonly used tests:
1. Divisibility by 2:
- If the number ends with an even digit (0, 2, 4, 6, or 8), then it is divisible by 2.
- For example, 246 is divisible by 2 because it ends with the digit 6.
2. Divisibility by 3:
- If the sum of the digits of the number is divisible by 3, then the number itself is divisible by 3.
- For example, 513 is divisible by 3 because 5 + 1 + 3 = 9, and 9 is divisible by 3.
These are just a couple of examples of divisibility tests, and there are other tests for different divisors. These tests provide a quick way to determine if a number is divisible by another without actually performing the division.