Tests of Divisibility
Tests of Divisibility: Overview
This topic covers concepts, such as, Tests for Divisibility, Divisibility Test of 10, Divisibility Test of 11 & Proof for Divisibility Test of 11 etc.
Important Questions on Tests of Divisibility
Prove that a number is divisible by only when its unit digit is and also verify is divisible by

Prove that a number is divisible by only when its unit digit is and also verify is divisible by

Prove that a number is divisible by only when its unit digit is . Give one example.

Prove that a number is divisible by only when its unit digit is

Any number whose sum of digits is divisible by is not divisible by

Any number whose sum of digits is divisible by is also divisible by

State whether the following statements are true or false
Any number whose sum of digits is divisible by is also divisible by .
is divisible by .

State whether the following statement is true or false.
is exactly divisible by .

Explain the proof of divisibility by and check whether is divisible by or not.


If a number divided by leaves no remainder, the sum of all possible values of the digit in the ones place is _____.

If is a digit number, then find the largest one-digit number that divides exactly.

The number is divisible by .
(By expanding the number)

A number is said to be divisible by , if its expanded form has multiple of both and _____.
(By expanding the number)

A number is said to be divisible by , if its expanded form has multiple of _____.
(By expanding the number)

The square of a number is divisible by is
(By expanding the number)

The number is divisible by .
(By expanding the number)

The number is divisible by _____.
(By expanding the number)

The number is divisible by both and _____.

The smallest digit number divisible by is _____.
