DIVISIBILITY RULES WORKSHEET

Divisibility rule for 2

Problem 1 :

Which of these numbers are divisible by 2?

a) 216     b) 3184     c) 827    d) 4770   e) 123 456

Solution

Problem 2 :

If a and b are odd numbers, then which of the following is even ?

a) a + b    b) a + b + 1    c) ab    d) ab + 2

Solution

Problem 3 :

n is a whole number when divided by 4 gives 3 as remainder What will be the remainder when 2n is divided by 4.

a) 3    b)  2      c) 1      d) 0

Solution

Problem 4 :

A number was divided successively in order by 4, 5 and 6. The remainders were respectively 2, 3 and 4. The number is

a) 214   b)  476    c)  954   d)  1908

Solution

Divisibility rule for 3

Problem 1 :

Which of these numbers are divisible by 3?

a) 84   b) 123  c) 437  d) 111114  e) 707052

Solution

Problem 2 :

If the number 517__324 is completely divisibly by 3, then the smallest whole number is the place of ___ will be 

a) 0   b)   1     c)  2      d) none

Solution

Problem 3 :

How many 3 digit numbers are divisible by 3.

Solution

Problem 4 :

What digits could replace ___so that these numbers are divisible by 3?

a) 3_8      b)  8__5     c)  3__14     d) __229

Solution

Divisibility rule for 4

Problem 1 :

Which of these numbers are divisible by 4?

a) 482   b) 2556  c) 8762  d) 12368  e) 213 186

Solution

Problem 2 :

If the product of 4864 x 9P2 is divisible by 12, the value of P is 

a)  1     b)  5    c) 6      d) 8

Solution

Problem 3 :

Consider the numbers of the form 3__8. Which digits could be put in place of ___.So that the number 3___8 is :

a) even  b) divisible by 3  c) divisible by 4

Solution

Divisibility rule for 5

Problem 1 :

Which of these numbers are divisible by 5?

a) 400    b) 628    c) 735    d) 21063    e) 384 005

Solution

Problem 2 :

Which one of the following numbers is completely divisible by 45 ?

a)  181560    b) 331145     c)  202860      d) 2033550

Solution

Problem 3 :

The sum of all two digit numbers divisible by 5 ?

a) 1035   b) 1245   c) 1230    d) 945

Solution

Divisibility rule for 6

Problem 1 :

Which of these numbers are divisible by 6?

a) 162   b) 381  c) 1602  d) 2156  e) 5364

Solution

Problem 2 :

What smallest number should be added to 4456 so that sum of the number is completely divisible by 6 ?

a) 4    b)  3    c)  2    d)   1

Solution

Problem 3 :

Paul believes that the number forms alongside are always divisible by 6 :

a) Check that the first four of them are divisible by 6.

(i)  2³ – 1³ – 1

(ii)  3³ – 2³ – 1

(iii)  4³ – 3³ – 1

(iv)  5³ – 4³ – 1

b) Check that 10³ – 9³ – 1 is divisible by 6.

Solution