Question

Pls write all of the divisibility rules

Answer 1

Answer:

Divisibility rules help us work out whether a number is exactly divisible by other numbers (i.e. there is no remainder).

Step-by-step explanation:

Divisibility by 2

Any even number or number whose last digit is an even number i.e. 2,4,6,8 including 0 is always completely divisible by 2.

Example: 508 is an even number and divisible by 2 but 509 is not an even number, hence not divisible by 2. Procedure

Divisibility Rules for 3

Divisibility rule for 3 states that a number is completely divisible by 3 if the sum of its digits is divisible by 3 i.e., it is a multiple of 3

, 516 is divisible by 3 completely as the sum of its digits i.e. 5+1+6=12, is a multiple of 3.

Divisibility by 4

If the last two digits of a number are divisible by 4, then that number is a multiple of 4 and is divisible by 4 completely.

Divisibility by 5

Numbers with last digit 0 or 5 are always divisible by 5.

Example: 10, 10000, 10000005, 595, 396524850 etc.

Divisibility by 6

Numbers which are divisible by both 2 and 3 are divisible by 6. That is, if last digit of the given number is even and the sum of its digits is a multiple of 3, then the given number is also a multiple of 6.

Divisibility Rules for 7

The rule for divisibility by 7 is given below:

Divisibility rules for 7

Example: Is 1073 divisible by 7?

From the rule stated remove 3 from the number and double it, which becomes 6.

Remaining number becomes 107, so 107-6 = 101.

Repeating the process one more times, we have 1 x 2 = 2.

Remaining number 10 – 2 = 8.

As 8 is not divisible by 7, hence the number 1073 is not divisible by 7.

Divisibility by 8

If the last three digits of a number are divisible by 8, then the number is completely divisible by 8.

Example: Take number 24344. Consider the last two digits i.e. 344. As 344 is divisible by 8, the original number 24344 is also divisible by 8.

Divisibility by 9

The rule for divisibility by 9 is similar to divisibility rule for 3. That is, if the sum of digits of the number is divisible by 9, then the number itself is divisible by 9.

Example: Consider 78532, as the sum of its digits (7+8+5+3+2) is 25, which is not divisible by 9, hence 78532 is not divisible by 9

Divisibility by 10

Divisibility rule for 10 states that any number whose last digit is 0, is divisible by 10.

Example: 10, 20,30,1000,5000,60000 etc.

Divisibility Rules for 11

If the difference of the sum of alternative digits of a number is divisible by 11 then that number is divisible by 11 completely.

In order to check whether a number like 2143 is divisible by 11 following is the procedure.

Group the alternative digits i.e. digits which are in odd places together and digits in even places together. Here 24 and 13 are two groups.

Take the sum of the digits of each group i.e. 2+4=6 and 1+3= 4

Now find the difference of the sums; 6-4=2

If the difference is divisible by 11, then the original number is also divisible by 11. Here 2 is the difference which is not divisible by 11.

Therefore, 2143 is not divisible by 11.

Divisibility Rules for 13

For any given number, to check if it is divisible by 13, we have to add four times of the last digit of the number to the remaining number and repeat the process until you get a two-digit number. Now check if that two-digit number is divisible by 13 or not. If it is divisible then the given number is divisible by 13.

For example: 2795 → 279 + (5 x 4) → 279 + (20) → 299 → 29 + (9 x 4) → 29 + 36 →65. Number 65 is divisible by 13, 13 x 5 = 65.

Answer 2

Answer:

Divisibility rules from 2 to 10.

Divisibility rule of 2- If the digit in ones place is 2, 4, 6 or 8, the number will be divisible by 2.

Eg; 24,008

In this particular number, there is 8 in ones place so it will be divisible by 2.

Divisibility rule of 3- If the sum of the digits is divisible by 3, the number is divisible by 3.

Eg; 18= 1+8

= 9 is divisible by 3 so this number will be divisible by 3

Divisibility rule of 4- If the last two digits of a number is divisible by 4, the whole number will be divisible by 4.

Eg; 340.

In this number the last two digits is 40 so 40 is divisible by 4, thus the whole number will be divisible by 4.

Divisibility rule of 5- If the digit in ones place is 0 or 5, the number will be divisible by 5.

Eg; 500

The digit in ones place in 0 so, it will be divisible by 5.

Divisibility rule of 6- If the digits of a number are divisible by both 2 and 3, the number is divisible by 6.

Eg; 54,738

Here the number is divisible by both 2 and 3 so the whole number is divisible by 6.

The next four divisibility rules I will give to u after a few mintes wait until I gave!