Question

Write $yes$ for the divisible number.

Number	Number by which the number gets completely divided
	$1$	$2$	$3$	$4$	$5$	$6$	$7$	$8$	$9$	$10$
$2550$	Yes	Yes	Yes							Yes
$4914$

Accepted Answer

The given number is $4914$ .

We need to check, by which number $4914$ is divisible.

Divisibility rule $1$ : Every number is divisible by $1$ , therefore $1$ is divisible by $1$ .

Divisibility rule of $2$ : If the unit's place of any number has $4$ and $8$ , then the number is completely divisible by $8$ .

Unit's place digit of $4914$ is $4$ , then this number is completely divisible by $2$ .

Divisibility rule of $3$ : If sum of all the digits of a number is divisible by $3$ , then the number is divisible by $3$ .

In $4914$ , the sum of all the digits would be $4 + 9 + 1 + 4 = 18$ , therefore the given number is divisible by $3$ .

Divisibility rule of $6$ : If any number is divisible by $2$ and $3$ separately, then the number will be divisible by $6$ .

Since, the given number is divisible by both $2$ and $3$ , it is also divisible by $6$ .

Divisibility rule of $9$ : If sum of all the digits of a number is divisible by $9$ , then the number is divisible by $9$ .

In $4914$ , the sum of all the digits would be $4 + 9 + 1 + 4 = 18$ , therefore the given number is divisible by $9$ .

Divisibility rule of $7$ : Take a number and double its last digit. Now subtract this doubled number from the rest of the digits of the original number.
Repeat the process till the result is a digit like $1$ or $2$ . If the obtained number is divisible by $7$ , then the original number also be divisible by $7$ .

In $4914$ , the last digit is $4$ , twice of $4$ is $8$ .

$491 - 8 = 483$

In $483$ , the last digit is $3$ , twice of $3$ is $6$ .

$48 - 6 = 42$

In $42$ , the last digit is $2$ , twice of $2$ is $4$ .

$4 - 4 = 0$

Therefore, $4914$ is divisible by $7$ .

Here, the number $4914$ is divisible by $2, 3, 6, 7$ and $9$ .

Therefore,

Number Number by which the number gets completely divided

$1$ $2$ $3$ $4$ $5$ $6$ $7$ $8$ $9$ $10$

$4914$ Yes Yes Yes Yes Yes Yes

Chhattisgarh Board Solutions for Chapter: Factors and Multiples, Exercise 7: Practice 4

Chhattisgarh Board Mathematics Solutions for Exercise - Chhattisgarh Board Solutions for Chapter: Factors and Multiples, Exercise 7: Practice 4

Questions from Chhattisgarh Board Solutions for Chapter: Factors and Multiples, Exercise 7: Practice 4 with Hints & Solutions

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Number	Number by which the number gets completely divided
	$1$	$2$	$3$	$3$	$5$	$48 - 6 = 42$	$7$	$8$	$9$	$10$
$2550$	Yes	Yes	Yes							Yes
$4914$