Question

using divisibility test to check if 43542 is divisible by 6?

Answer 1

Solution:-

Divisibility Rule of 6:- If a number exactly divisible by 6 if and only if the number divisible by both 2 and 3.

• Rule of 2:- A Number ended with 0,2,4,6,8 then the number is exactly divisible by 2.

☞ 43542, the last Number is 2, So it is divisible by 2.

• Rule of 3:- If the continuous sum of a number is divisible by 3 then the number will exactly divisible by 3.

☞ 4+3+5+4+2 => 18

→ 1+8

→ 9

9 is divisible by 3, So 43542 is divisible by 3.

• So, the given number 43542 is exactly divisible by 6.

$\Large{✓}$

Hope It Helps You ✌️

Answer 2

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★ $\sf\red{Divisibility\: rule\:6:-}$ Any number is divisible by 6 if it is divisible by 2 and 3.

★ $\sf\orange{Divisibility\: rule\:3:-}$ If sum of all the digits in a number is divisible by 3 then the number is divisible by 3.

★ $\sf\orange{Divisibility\: rule\:2:-}$ If the last digit of the number is 0,2,4,6,8 then it is divisible by 2.

★ All even numbers are divisible by 2.

☆ Given number:- 43542

☆ 4+3+5+4+2=1+8=9

☆ It is divisible by 3

☆ It is divisible by 2

☆ So,the number is divisible by 6