Divisibility Tests for 6

Q.

Question 7

The product of three consecutive numbers is always divisible by 6. Verify this statement with the help of some examples.

Q. All even numbers are divisible by 2. State whether the statement is True or False.

1. True
2. False

Q.

Which of the following numbers is divisible by both 6 and 8?

1. 9640

2. 9638

3. 9642

4. 9648

Q. From the following numbers, choose the numbers that completely divide 324.

1. 2
2. 3
3. 5
4. 6

Q.

Determine if $25110$ is divisible by $45$.

Q.

If a number is divisible by $3$, it must be divisible by $9$. (True or False)

1. True
2. False

Q.

Check whether $7329753$ is divisible by $9$.

Q.

Question 49

Find the missing number.
___ -3456 = -8910

Q.

Question 3 (e)

Using divisibility test, determine whether the given number is divisible by 6:
901352

Q.

Question 82

In the following question, state whether the given statement is true (T) or false (F).
A number with three or more digits is divisible by 6, if the number formed by its last two digits (i.e. ones and tens) is divisible by 6.

Q.

Question 81

In the following question, state whether the given statement is true (T) or false (F).

If a number is divisible by 2 and 3 both, then it is divisible by 12.

Q.

What is the divisibility rule of $6$?

Q.

Question 3 (a)

Using divisibility test, determine whether the given number is divisible by 6:
297144

Q.

Number $2856$ is divisible by $6.$

1. True
2. False

Q.

If a number is divisible by $9$, it must be divisible by $3$. (True or False)

1. True
2. False

Q.

Find the smallest digit that should be replaced at $*$ place in the number $87*21$ so that the number is divisible by $3$.

Q.

Determine whether $70169803$ is divisible by $11$

Q.

Check the divisibility of $308$ by $11$.

Q.

Is $852$ divisible by $6$?

Q.

Fill in the blanks with the smallest digit to make the number divisible by $9$:

$6834\_\_\_5$

Q.

Using divisibility test, determine $438750$ is divisible by $6$.

Q. Prove that the product of three consecutive positive integer is divisible by $6$.

Q.

Using divisibility tests, determine which of the following numbers are divisible by $ 2$; by $ 3$; by$ 4$; by $ 5$; by$ 6$; by $ 8$; by $ 9$; by $ 10$; by $ 11$ (say, yes or no):

\begin{tabular}{|l|l|l|l|l|l|l|l|l|l|} \hline \multicolumn{1}{|c|}{} & \multicolumn{6}{c|}{ Divisible By } \\ \hline Numbers & 2 & 3 & 4 & 5 & 6 & 8 & 9 & 10 & 11 \\ \hline 128 & Yes & No & No & Yes & No & No & Yes & No & No \\ \hline 990 & \( -- \) & \( -- \) & \( -- \) & \( -- \) & \( -- \) & \( -- \) & \( -- \) & \( -- \) & \( -- \) \\ \hline 1586 & \( -- \) & \( -- \) & \( -- \) & \( -- \) & \( -- \) & \( -- \) & \( -- \) & \( -- \) & \( -- \) \\ \hline 275 & \( -- \) & \( -- \) & \( -- \) & \( -- \) & \( -- \) & \( -- \) & \( -- \) & \( -- \) & \( -- \) \\ \hline 6686 & \( -- \) & \( -- \) & \( -- \) & \( -- \) & \( -- \) & \( -- \) & \( -- \) & \( -- \) & \( -- \) \\ \hline 639210 & \( -- \) & \( -- \) & \( -- \) & \( -- \) & \( -- \) & \( -- \) & \( -- \) & \( -- \) & \( -- \) \\ \hline 429714 & \( -- \) & \( -- \) & \( -- \) & \( -- \) & \( -- \) & \( -- \) & \( -- \) & \( -- \) \\ \hline 2856 & \( -- \) & \( -- \) & \( -- \) & \( -- \) & \( -- \) & \( -- \) & \( -- \) & \( -- \) \\ \hline 3060 & \( -589 \) & \( -- \) & \( -- \) & \( -- \) & \( -- \) & \( -- \) \\ \hline \end{tabular}

Q.

A number $48$ is divisible by two different numbers, say 4 and 2.Is the number $48$ also divisible by the product of $4$ and $2$, that is $8$? Is this case true for other numbers? Justify your answer with example.

Q.

Is $4612$ divisible by $4$ $?$

Q.

Is $219$ divisible by $3$?

Q. Check whether the given numbers are divisible by $6$ or not ?
(a) $273432$ (b) $100533$ (c) $784076$ (d) $24684$

Q.

Using divisibility tests, determine the given number $88,364$ is divisible by $8$.

Q.

Write the smallest digit in the blank space of the given number $3,2_{-,}386$ so that the number formed is divisible by $3$.

Q.

Find the greatest number of $5$ digits which on dividing by $10,12,16,20$, and $24$ leaves in each case $3$ as the remainder.