Question

Classify the following as number divisible by 2,3,4,5, 9,10

Answer 1

Note: the given question is incomplete as it should be:

Classify the following numbers as divisible by 2,3,4,5,9,10.

128,342,405,510,616,840,918,1440,1523

Solution:

Check for divisibility of 2.

Know number whose unit digit is even then it is divisible by 2.

Observe the given numbers, $128,342,405,510,616,840,918,1440,1523$ that, the last unit digit is even are $128,342,510,616,840,918,1440$.

Check for divisibility of 3 and 9.

Know that of the sum of the digits is divisible by 3 or 9 then it is divisble by 3 or 9.

Observe the given numbers, $128,342,405,510,616,840,918,1440,1523$ that,

$\[\begin{array}{l}128,\left( {1 + 2 + 8} \right) = 11\\342,\left( {3 + 4 + 2} \right) = 9\\405,\left( {4 + 0 + 5} \right) = 9\\510,\left( {5 + 1 + 0} \right) = 6\end{array}\]$

$\[\begin{array}{l}616,\left( {6 + 1 + 6} \right) = 13\\840,\left( {8 + 4 + 0} \right) = 12\\918,\left( {9 + 1 + 8} \right) = 18\end{array}\]$

$\[\begin{array}{l}1440,\left( {1 + 4 + 4 + 0} \right) = 9\\1523,\left( {1 + 5 + 2 + 3} \right) = 11\end{array}\]$

Understand that the number divisible by 3 are $342,405,510,840,918,1440$.

The number divisible by 9 are $342,405,918,1440$.

Check for divisibility of 4.

Know that, a number is divisible by 4 if the last two digit is divisible by 4.

Therefore the number divisible by 4 are $128,616,840,1440$.

Check divisibility by 5 and 10.

Divisibility rule of 5 : Number that are divisible by 5 must end in 5 or 0.

Therefore, the number divisible by 5 are $405,510,840,1440$.

Divisibility rule of 10 : A number to be divisible by 10, the last digit must be a 0.

Therefore, the number divisible by 10 are $510,840,1440$.

Answer 2

Given : Numbers

128, 342, 405, 510, 616, 840, 918, 1440, 1523

https://brainly.in/question/28822917 ( complete Question)

To Find :  divisible by 2,3,4,5,9,10

Solution:

divisible by 2

if unit digit is 0 , 2 ,4  , 6 or 8

128 , 342 , 510 , 616 , 840  , 918 , 1440  

divisible by 3

If Sum of Digits is divisible by 3

342, 405, 510,  840, 918, 1440

divisible by 4

if number formed by last 2 digits is divisible by 4

128,  616, 840,   1440

divisible by 5

if unit digit is 0 or 5

405, 510,  840,  1440

divisible by 9

If Sum of Digits is divisible by 9

342, 405,   918, 1440

divisible by 10

if unit digit is 0  

 510,  840,  1440

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