Algebra Den

More Divisibility Rules

Under this topic you can learn few more divisibility rules :-

1) If a given number is divisible by other number, then the given number is also divisible by each factor of that other number.
For example = Given number 168 is divisible by 12.
Now the factors of 12 are 1, 2, 3, 4 and 6.
And as the above rules says, given number 168 is divisible also divisible by 1, 2, 3, 4 and 6.
To check, you can apply the divisibility principle of 2, 3, 4 and 6 on the given number 168.

2) If two given numbers are divisible by a number, then the sum of two given number is also divisible by that number.
For Example = Two numbers 9 and 15 are divisible by 3,
Sum of given two number = 9 + 15 = 24,
And 24 is also divisible by 3 (To Check, read divisiblity property of 3)

3) If two given numbers are divisible by a number, then the difference of two given number is also divisible by that number.
For Example = Two numbers 8 and 24 are divisible by 2,
Difference of given two number = 24 - 8 = 16,
And 16 is also divisible by 2 (To Check, read divisiblity property of 2)

4) If a given number is divisible by two co-prime number, then the given numbers is also divisible by the product of those co-prime numbers.
For Example = Two co-prime numbers of given number 12 are 2 and 3,
Now, the product of 2 and 3 = 6,
And given number 12 is divisible by 6 also.