Name: Introduction to Numbers
Uploaded: 2019-07-19
Duration: 7 min 45 s
Description: In this video, we will cover some basic types of numbers their definitions and examples. This video will be helpful for all the competitive examinations....

Question

Fill the table using the divisibility test for $3$ and $9$ .

Number	Sum of the digits in the number	Divisible by
		$3$	$9$
$72$
$197$
$4689$
$79875$
$988974$	$9 + 8 + 8 + 9 + 7 + 4 = 45$	Yes	Yes

Accepted Answer

We know that if the sum of the digits of a number is divisible by of $3$ , then the number is divisible by $3$ and if the sum is divisible by $9$ , then the number is divisible by $9$ .

The sum of the digits of the given numbers are as follows:

$72 \to 7 + 2 = 9$
$197 \to 1 + 9 + 7 = 17$
$4689 \to 4 + 6 + 8 + 9 = 27$
$79875 \to 7 + 9 + 8 + 7 + 5 = 36$
Here, we observe that

$9$ is divisible both by $3$ and $9$ . So, $72$ is divisible by both $3$ and $9$ .
$17$ is neither divisible by $3$ nor by $9$ . So, $197$ is neither divisible by $3$ , nor by $9$ .
$27$ is divisible both by $3$ and $9$ . So, $4689$ is divisible by both $3$ and $9$ .
$36$ is divisible both by $3$ and $9$ . So, $79875$ is divisible by both $3$ and $3$ .

The filled up table with the above information is shown below:

Number Sum of the digits in the number Divisible by

$3$ $9$

$72$ $72 = 7 + 2 = 9$ Yes Yes

$197$ $197 = 1 + 9 + 7 = 17$ No No

$4689$ $4689 = 4 + 6 + 8 + 9 = 27$ Yes Yes

$79875$ $79875 = 7 + 9 + 8 + 7 + 5 = 36$ Yes Yes

Fill the table using the divisibility test for $3$ and $9$ .

Number Sum of the digits in the number Divisible by

$3$ $9$

$72$

$197$

$4689$

$79875$

$988974$ $9 + 8 + 8 + 9 + 7 + 4 = 45$ Yes Yes

Important Questions on Playing with Numbers

Learn and Prepare for any exam you want !

Fill the table using the divisibility test for 3 and 9. Number Sum of the digits in the number Divisible by 3 9 72 197 4689 79875 988974 9+8+8+9+7+4=45 Yes Yes

Important Questions on Playing with Numbers

Learn and Prepare for any exam you want !

Fill the table using the divisibility test for $3$ and $9$ .

Number Sum of the digits in the number Divisible by

$3$ $9$

$72$

$197$

$4689$

$79875$

$988974$ $9 + 8 + 8 + 9 + 7 + 4 = 45$ Yes Yes