When is number divisible by 6

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Use this Google Search to find what you need. All Rights Reserved. Comments Have your say about what you just read! Hence, is divisible by both 6 and 9. Example 1: Find out whether the given numbers are divisible by 6 or not, using the test of divisibility by 6. Thus the number 80 is not divisible by 6 because it is divisible by 2 but not divisible by 3. Thus the number is divisible by 6 because it is divisible by 2 and 3 both.

Example 2: Using the divisibility rule of 6, find out whether the number is divisible by 6 or not. Solution: As is an even number it is divisible by 2. Example 3: Check whether the given large number is divisible by 6 or not, by using the divisibility rule of 6.

Solution: As the given large number is an even number the unit place digit is even it is divisible by 2. Therefore, the number is divisible by 6 because it is divisible both by 2 and 3. The divisibility rule of 6 says that if a number is divisible by 2 and 3 both, then the number is also divisible by 6. For example, 78 is an even number so, it is divisible by 2.

First, we have to check that the number is even or odd. As it is odd that means it is not divisible by 2. Since the number is not divisible by 2, then the number cannot be divisible by 6, because the divisibility rule of 6 states that the number should divisible by 2 and 3 both to make it divisible by 6. So, is not divisible by 6. The divisibility rule of 6 states that the number is exactly divided by number 6 only if it is exactly divided by 2 and 3 both. On the other hand, the divisibility rule of 3 states that if the sum of all digits of a number is divisible by 3 or multiple of 3 then the number is divisible by 3.

We use this condition divisibility rule of 3 in the divisibility test of 6 to check whether a number is divisible by 3 or not, so it is very important to learn the divisibility rule of 3 before learning the divisibility rule of 6. If a big number is divisible by 2 and 3 both then it is also divisible by 6. For this, we need to check whether the unit place digit of the number is even or odd. If it is even then it is divisible by 2. After that, we need to do the sum of all digits and if the sum is divisible by 3 then the number is also divisible by 3.

If both the conditions satisfied by the number then without doing division we can say that the number is divisible by 6.

Number Explanation 1 is not even. So, no, is not divisible by 6. Practice Quiz on divisibility by 6. Divisibility by 8 Rule. Number Explanation 9, The last 3 digits , , are divisible by 8. Therefore, 9, is divisible 8 as well! Therefore, , is divisible 8 as well! Therefore , 20,,, is divisible 8 as well!

Number Explanation 9, Since last 3 digits are not divisible by 8, the entire number 9, is not. Practice Quiz on divisibility by 8. Divisibility by 9 Rule. Practice Quiz on divisibility by 9. Divisibility by 10 Rule. Number Explanation 19 0 Last digit is 0, that's all that is needed for a number to be divisible by Number Explanation 31,20 5 Since the last digit is not 0, this number is not divisible by Practice Quiz on divisibility by Divisibility by 11 Rule.

In case you found this one, a bit confusing, remember that any number evenly divides 0. Think about it, how many 11's are there in 0? None, right. Well that means that 11 divides zero , zero times! No, no good. A word of caution about Calculators and Large Numbers.

Popular pages mathwarehouse. Surface area of a Cylinder. Unit Circle Game. Pascal's Triangle demonstration. Create, save share charts. Interactive simulation the most controversial math riddle ever! Calculus Gifs. How to make an ellipse. Volume of a cone. Best Math Jokes. Our Most Popular Animated Gifs. Math Riddles. Since the last digit is a 2 , the entire number, 12, is an even number and therefore divisible by 2.

Since the last digit is an 8 , this is an an even number and therefore divisible by 2. Since the last digit is 0 , this is an an even number and therefore divisible by 2.

Since the last digit is a 4 , this is an even number and therefore divisible by 2.