Question

Check Which of the following numbers are divisible by 2 , 3 or 5 ?
Give reason
i) 4524 ii) 7545 iii) 5034 iv) 1080

Answer 1

Answer:

1080 (Option iv)

Step-by-step explanation:

LCM of 2,3 and 5 is 30

As the number is full divisible by 30 so, the number has '0' in unit place.

Hence the number is: 1080

Answer 2

Given numbers,

$2,3,5$

Divisibility rule of $2$: If in the number the units place is a even number or zero, then it is divisible by $2$.

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

Divisibility rule of $5$: If in the number the units place is either zero or $5$, then the number is divisible by $5$

$i) 4524$

From the divisibility rules, the given number is only divisible by $2,3$ but not with $5$.

$ii)7545$

From the divisibility rules, the given number is only divisible by $3,5$ but not with $2$.

$iii)5034$

From the divisibility rules, the given number is only divisible by $2,3$ but not with $5$.

$iv)1080$

From the divisibility rules, the given number is divisible by all the three numbers $2,3,5$

Therefore, the number $1080$ is divisible by all the three numbers $2,3,5$.