This divisibility by 3 rule works for every number. The rule can be applied to the result of sum of the digits to check that too. Add the digits of the number. If this answer is divisible by 3, the original number is divisible by 3. The rule for divisibility by 3 works for all numbers no matter how large. Add the digits of the number and check if this result is also divisible by 3. We add the individual digits of the number 7, , We might not be sure if 48 is divisible by 3.
The rule can be applied again to 48 to see if 48 is divisible by 3. Supporting Lessons Partitioning. Example Video Questions Lesson.
A number is divisible by 3 if the sum of the digits is also divisible by 3. Download PDF. How to Tell if a Number is Divisible by 3 To test if a number is divisible by 3, follow these steps: Add the individual digits of the number to make a total.
If this total is divisible by 3, the original number is divisible by 3. If you are not sure if the total is divisible by 3, apply the first two steps to that number. If a number is divisible by 3, it means that the number is in the 3 times table. A number that is divisible by 3 is a multiple of 3. The number can be divided exactly by 3 to leave no remainder.
In this example, we will use the divisibility by 3 rule to test Is in the 3 times table? Video transcript You're just walking down the street and someone comes up to you and says "Quick! Is this divisible by 3? This is an emergency! Tell me as quickly as possible! And luckily you have a little tool in your toolkit where you know how to test for divisibility by 3 Well, you say I can just add up the digits If the sum of that is a multiple of 3 then this whole thing is a multiple of 3 So you say 4 plus 7 plus 9 plus 2 That's Plus 9, it's Plus 2 is 22 That's not divisible by 3 If you're unsure, you can even add the digits of that 2 plus 2 is 4.
Clearly not divisible by 3 So this thing right over here is not divisible by 3 And so luckily that emergency was saved But then you walk down the street a little bit more and someone comes up to you "Quick! Plus 6 is Plus 8 is We know that 12 is divisible by 3.
Now, is divisible by 4 as the number formed by the last two digits, that is, 36 is divisible by 4. Example 1: For the following numbers, using the test of divisibility by 3, find out whether the numbers are divisible by 3 or not. Therefore, 66 is also divisible by 3.
Therefore, 97 is not divisible by 3. Therefore, 32 is not divisible by 3. Example 2: Using the rule of divisibility of 3, find out whether the given large number is divisible by 3 or not. We know that 45 is divisible by 3 which means is also divisible by 3. Example 3: Using the rule of divisibility of 3, find out if the greatest 3-digit number is exactly divisible by 3 or not.
Solution: The greatest 3-digit number is The sum of all the digits of is divisible by 3 which means is also divisible by 3. A whole number is said to be divisible by 3 if the sum of all the digits of a whole number is exactly divided by 3; this rule is referred to as the divisibility rule of 3.
Without doing division we can find out whether a number is divisible by 3 or not. Hence, 45 is said to be divisible by 3, because it gives the quotient as 15 and the remainder as 0.
First, we need to check if the sum of all the digits of the given number is divisible by 3 or not. We know that 3 is divisible by 3. Thus, is divisible by 3. According to the divisibility rule of 3, a number is said to be divisible by 3 if the sum of all digits of that number is divisible by 3.
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