Divisibility Rule for 4

Q.

Question 11

18 is divisible by both 2 and 3. It is also divisible by $2\times 3=6.$ Similarly, a number is divisible by 4 and 6. Can we say that the number must be divisible by $4\times 6=24?$ If not, give an example to justify your answer.

Q.

Question 10

Determine if 25110 is divisible by 45.

[Hint: 5 and 9 are co-prime numbers. Test the divisibility of the number by 5 and 9].

Q. If a number is divisible by 4 then the number formed by the last ______ must be divisible by 4.

1. one digit
2. two digits
3. four digits
4. three digits

Q.

A number is divisible by 4 and 12. Then, it should definitely be divisible by 48.

1. True.

2. False.

Q.

Generalised form of a three-digit number abcis:

1. 100a + 10b + c

2. a + b + c

3. 100a + 10c + b

4. a + 10b + 100c

Q.

Fill in the blanks :

A number which has either $0$ or $5$ in its unit place is divisible by ………….. .

Q.

Check the divisibility of the following numbers by $11$:

$61809$

Q.

Fill in the blanks:

A number is divisible by …………. , if it ends in $0$ or in a digit which is a multiple of $2.$

Q.

Question 2 (i)

Using divisibility test, determine whether the given number is divisible by 4; by 8:
1700

Q.

Determine which of the following numbers are divisible by 4.

1. 4096

2. 21084

3. 294

4. 513

Q.

50176 is divisible by 4.

1. True

2. False

Q.

Fill in the blank with smallest digit to make $6000.....3$ divisible by $3.$

Q.

In the number 2313X, what is the smallest value of X such that the number is divisible by 4?

1. 1

2. 3

3. 2

4. 0

Q.

If a number has ………….. in the units place , then it is divisible by $10.$

Q.

Fill in the blank with smallest digit to make $1462$ ………. divisible by $3.$

Q.

What least number should be added to $98877$ to make it divisible by $9$.

1. $7$

2. $6$

3. $4$

4. $3$

Q. Check the divisibility of 152875 by 9. [2 Marks]

Q.

A number is divisible by …………… , if it has any of the digits $0,2,4,6$ or $8$ in its unit place.

Q.

Find the smallest digit which will replace * in $23*57$so that it is exactly divided by $3$.

Q. What should be subtracted from 965595 to make it completely divisible by 4? Choose from the given options:

1. 1
2. 2
3. 3
4. 0

Q. Which of the following numbers is divisible by 4?

1. 159357
2. 852258
3. 965748
4. 753951

Q.

78360 is divisible by 4.

1. True

2. False

Q. If a number is divisible by 3 and 4, then it is also divisible by 12.

1. False
2. True

Q.

$42x8\text{divisible by 4 ?}$

Q.

If $\overline{98215x2}$ is a number with x as its tens digits such that it is divisible by 4.
Find all the possible values of x.

1. 1

2. 2

3. 3

4. 4

Q.

What happens if we take a two digit number and check if it's divisible by four, how will it be solved

Q.

Test the divisibility of the following numbers by $7$.

$10311$

Q.

Check the divisibility of $5476$ by $9$.

Q. Down
10. A number is divisible by which number; if the difference of the sum of its digits at odd places and sum of its digits at even places is either $0$ or a number divisible by $11$.

1. Eleven
2. Twelve
3. Seven
4. Eight