Finding a number can be divided by eleven : divisibility rule of 11

Similarity in Divisibility rule for 3 and 9 Example Problems. What are Divisibility Rule and why are they useful? Find Factors: Divisibility Rules help us in quickly identifying if a number is a factor of another number or not. Save Time: If we use divisibility rules then we do not have to go for Long Division method to find out the factors of. Divisibility Rule for 9. If the sum of the digits of a number is divisible by 9 or multiple of 9, then it is divisible by 9. Divisibility Rule for 9 - Example. Problem: Check whether is divisible by 9. Solution: Add all the digits in the number 1 + 2 + 7 + 0 + 8 =

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The divisibility rule for number 11 helps in finding whether a number is exactly divisible by The rules are illustrated with clear examples for easier understanding. Divisbility Rule of The sum of the even digits is subtracted from the sum of the odd digits. The result is either 0 or divisible by Jan 11, · Example – Sum of digits at odd places = 3+7+8+4 = 22 Sum of digits at even places = 9+9+9+6 = 33Now -> = 11 which is multiple of 11 so number is divisible. Divisible by 12 – If a number is divisible by 3 and 4 both, then it will also be divisible by 12 as well. Divisibility rules A Prime or composite A Prime factorisation A Highest common factor A Least common multiple A HCF and LCM: word problems A Classify numbers Integers. B Integers on number lines B Graph integers on horizontal and vertical number lines.

In this section, you will learn the shortcuts rules to check whether a number is evenly divisible by another number without doing too much calculation. Once we remember these rules, we can do division of numbers easily without calculator. All even numbers are divisible by 2.

A number ends with one of the following digits is called as even number. Problem :. Check whether 16 is divisible by 2. Solution :. So, it is even number and it divisible by 2. Need more examples. To check whether a number is divisible by 3, we have to find the sum of the digits in the number. If the sum of the digits is divisible by 3 or multiple of 3, then the number is divisible by 3. Check whether is divisible by 3. Add all the digits in the number The sum of the digits in the given number is 9 which is a multiple of 3.

If the last two digits of a number are zeroes or the number formed by the last 2 digits is divisible by 4, then the number is divisible by 4. Check whether is divisible by 4. In the given number , the last two digits are not zeroes. But, the number formed by the last two digits is 28 which is divisible by 4. So, the given number is divisible by 4.

If a number ends with 0 or 5, then it is divisible by 5. Check whether is divisible by 5. The given number ends with 5. So, the given number is divisible by 5. If a number is divisible by both 2 and 3, then it is divisible by 6. We already know that all even numbers are divisible by 2. So, all even numbers which are divisible by 3 are divisible by 6. Check whether is divisible by 6. The given number ends with 2. So, it is even number and divisible by 2. Check whether the number is divisible by 3.

The sum of the digits in the given number is 18 which is a multiple of 3. Therefore, the given number is divisible by both 2 and 3. So, the given number is divisible by 6. In a number, if the difference between twice the digit in one's place and the number formed by other digits is either zero or a multiple of 7, then the number is divisible by 7.

The number formed by the digits except the digit in one's place is. The difference between twice the digit in one's place and the number formed by other digits is. So, the given number is divisible by 7. In a number, if the last three digits are zeros or the number formed by the last 3 digits is divisible by 8, then the number is divisible by 8. But, the number formed by the last three digits is which is divisible by 8.

If the sum of the digits of a number is divisible by 9 or multiple of 9, then it is divisible by 9. Check whether is divisible by 9. The sum of the digits in the given number is 18 which is a multiple of 9. If a number ends with 0, then it is divisible by Examples :. Check whether is divisible by If you would like to have practice problems on divisibility rules,.

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