Tests for Divisibility of Numbers A number is divisible by a number 'm' if the remainder is 0 when the number is divided by 'm'. This means that the result...
Tests for Divisibility of Numbers
A number is divisible by a number 'm' if the remainder is 0 when the number is divided by 'm'. This means that the result of the division is equal to 'm'.
There are several tests that can be used to determine if a number is divisible by a specific number. These tests include:
Divisor's criterion: A number is divisible by 'm' if the remainder is 0 when it is divided by 'm'.
Little's theorem: A number is divisible by 'm' if the number written in expanded form ends in the digit 'm'.
GCD and LCM: The greatest common divisor (gcd) of two numbers is the largest number that divides both numbers evenly, while the least common multiple (lcm) of two numbers is the smallest number that is divisible by both numbers. If the gcd and lcm are equal to the same number, the numbers are divisible by that number.
By using these tests, we can determine whether a number is divisible by a specific number and find its factors