Question

Test the divisibility from 2 to 11​

Answer 1

Answer:

This shows you the divisibility tests for 2, 3, 5, 7, and 11, so you can tell if those numbers are factors of a given number or not without dividing.

• Divisibility Test for 2: The last digit is 0, 2, 4, 6, or 8.
• Divisibility Test for 3: The sum of the digits is divisible by 3.
• Divisibility Test for 5: The last digit is 0 or 5.
• Divisibility Test for 7: Cross off last digit, double it and subtract. Repeat if you want. If new number is divisible by 7, the original number is divisible by 7.
• Divisibility Test for 11: For a 3-digit number, sum of the outside digits minus the middle digit must be 0 or 11.

Answer 2

Divisibility Test for 2:

If, the last digit of a given number is divisible by 2 then the given number itself is also divisible by 2.

Divisibility Test for 3:

Suppose, we are given a large number and we want to check if that particular given number is divisible by 3. We sum up all the digits of number. If, sum of all the digits is divisible by 3 then the number itself is also divisible by 3.

Divisibility Test for 4:

Suppose, we are given a large number and we want to check if that particular given number is divisible by 4. We check the last two digits of number. If, the last two digits of number are divisible by 4 then it means the number itself is also divisible by 4.

Divisibility Test for 5:

Suppose, we are given a large number and we want to check if that particular given number is divisible by 5. If, the last digit is either 0 or 5 then the given number is divisible by 5.

Divisibility Test for 6:

Suppose, we are given a large number and we want to check if that particular given number is divisible by 6. A given number is divisible by 6 only if the number is divisible by both 2 and 3. Therefore, we apply divisibility tests of both 2 and 3 on a given number.

Divisibility Test for 7:

Suppose, we are given a large number and we want to check if that particular given number is divisible by 7. We just multiply the last digit of number by 2 and then subtract the result from the rest of the number. We keep on repeating the process till we get a number which we can directly say that it is divisible or not divisible by 7.

Divisibility Test for 8:

Suppose, we are given a large number and we want to check if that particular number is divisible by 8. We check the last three digits of number. If, the last three digits of number are divisible by 8 then it means the number itself is also divisible by 8.

Divisibility Test for 9:

Suppose, we are given a large number and we want to check if that particular given number is divisible by 9. We sum up all the digits of a given number. If, sum of all the digits is divisible by 9 then the given number itself is also divisible by 9.

Divisibility Test for 10:

The given number is divisible by 10 if the last digit of a given number is 0. For example, we are given a number 48750 and we want to check if it is divisible by 10 or not. We just check the last digit of number. It is zero which means 48750 is divisible by 10.

Divisibility Test for 11:

Just understand divisibility test of 11 by example. Suppose, we want to check if the number 14641 is divisible by 11 or not.

Hope it helps you...