Maximizing Divisibility | Understanding the Rules and Tests for Divisible Numbers in Mathematics

Divisible

In mathematics, the term “divisible” is used to describe a situation where one number can be divided evenly by another number without leaving a remainder

In mathematics, the term “divisible” is used to describe a situation where one number can be divided evenly by another number without leaving a remainder.

A number is considered divisible by another number if the division operation can be performed with no remainder. For example, if we say that a number ‘a’ is divisible by another number ‘b’, it means that when we divide ‘a’ by ‘b’, the division result is a whole number.

For instance, if we consider the number 12, it is divisible by 3 because when we divide 12 by 3, the result is 4, which is a whole number. Therefore, we say that 12 is divisible by 3.

Some common divisibility rules are:

1. Divisibility by 2: A number is divisible by 2 if its last digit is even (0, 2, 4, 6, or 8).
Example: 46 is divisible by 2 because its last digit is 6.

2. Divisibility by 3: A number is divisible by 3 if the sum of its digits is divisible by 3.
Example: 582 is divisible by 3 because 5 + 8 + 2 = 15, and 15 is divisible by 3.

3. Divisibility by 5: A number is divisible by 5 if its last digit is either 0 or 5.
Example: 145 is divisible by 5 because its last digit is 5.

4. Divisibility by 9: A number is divisible by 9 if the sum of its digits is divisible by 9.
Example: 243 is divisible by 9 because 2 + 4 + 3 = 9, and 9 is divisible by 9.

These rules can be extended to other numbers as well. Divisibility tests provide a convenient way to determine whether a number is divisible by another number without actually dividing them.

More Answers: