they can help you by finding the two factors of the number given
If the number is even, it is divisible by 2. If the sum of the digits is a multiple of 3, the whole number is divisible by 3.
A number is a multiple of 312 if it's a multiple of 3, 8 and 13 at the same time
Knowing the divisibility rules will help you by being able to recognize if a number has factors (other than one and itself) which are covered by the rules. This will save actually having to start doing divisions.
If the number is even and the sum of its digits is divisible by nine then the number is divisible by 18.
The divisibility rules for a prime number is if it is ONLY divisible by 1, and itself.
they can help you by finding the two factors of the number given
You can always check on the divisibility of a number by dividing it into another number. But if you know the divisibility rules, you can get that information easier and faster.
The number 0.
Divisibility rules help you find the factors of a number. Once you've found the factors for two or more numbers, you can find what they have in common. Take 231 and 321. If you know the divisibility rules, you know that they are both divisible by 3, so 3 is a common factor.
divided by what number use your divisibility rules
If the number is even, it is divisible by 2. If the sum of the digits is a multiple of 3, the whole number is divisible by 3.
A number is a multiple of 312 if it's a multiple of 3, 8 and 13 at the same time
If a number is divisible by 3 and 5, it is divisible by 15.
Knowing the divisibility rules will help you by being able to recognize if a number has factors (other than one and itself) which are covered by the rules. This will save actually having to start doing divisions.
Oh honey, divisibility rules have been around longer than your grandma's secret meatloaf recipe. But if you want a name to drop at your next trivia night, credit goes to good ol' Euclid. He's the OG mathematician who laid down the law on how numbers can play nice and divide evenly.
If a number is divisible by 3, and also by 4, then it is divisible by 12 - so you might use the divisibility rules for those two numbers. Although it might be simpler just to perform the division.