 Hi and welcome to the session. Today we will learn some tests for the visibility of numbers. First of all let us see the test for the visibility by 10 if a number has 0 in the 1's place then it is divisible by 10. For example numbers like 50, 600, 2000 are all divisible by 10 and they all have 0 at 1's place. Next we have the visibility by 5 in number either 0 or in the 1's place it is divisible for example 130, 360 are all divisible by 5 and they all have either 5 or 0 at their 1's place. We have divisibility by 2 in number is divisible by in its 1's place. For example numbers like divisible by 2. Now let's see the test for the visibility by 3 if the sum of the digits of the number is divisible the number is divisible. For example let us take the number 231 the sum of the digits of 231 is 2 plus 3 plus 1 which is equal to 6 and 6 is divisible by 3 so that means 231 is divisible by 3. Next is divisibility by say number divisible divisible for example let us take the number 4 is divisible from this we can see the 234 is divisible by 6 also. Now we have divisibility by 4 more digits divisible divisible example we have a number 3612. Now here the number formed by last two digits that is 1 cm is 12 divisible by 4 is also divisible by divisibility by 8 more digits divisible by 8 the number the last three digits divisible example the number formed by last three digits is 144 4 is divisible by 8 is also divisible next is divisibility by 9 is divisible in the number 1 4 the sum of the digits is 1 plus 0 plus 2 which is equal to 9 that means the number 14200 divisible divisibility by 0 or divisible the number equal to 1 plus 3 that is 4 now let's find 4 minus 4 which is equal to 0 that means 1331 is divisible we have learned the test for divisibility of numbers and with this we finish this