Question

A number is divisible by 3 and 10.By which other number will that number be always divisible?

Answer 1

Given :- A number is divisible by 3 and 10.By which other number will that number be always divisible ?

Solution :-

→ Number divisible by 3 and 10 are = 30, 60, 90, _____

since,

→ prime factors of 10 are = 2 * 5.

then, we can say that, if number is divisible by 3 and 10,

→ 3 * 2 = 6

→ 3 * 5 = 15

→ 3 * 10 = 30

the number will always divisible by 6 and 15 and 30 .

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Answer 2

Given :   A number is divisible by 3 and 10.

To Find : By which other number will that number be always divisible?

Solution:

A number is divisible by 3 and 10.

Hence number will always be divisible by LCM of these numbers

LCM of 3 and 10  is 30

Hence number will be divisible by 30

If a number is Divisible by 30 then it will be also divisible by all factors of 30

30 = 1 * 30

30  = 2 * 15

30 = 3 * 10

30  = 5 * 6

Hence number is Divisible by  1 , 2 , 3 , 5 , 6 , 10 , 15 and 30

Other than 3 and 10

As all numbers are divisible by 1 hence ignoring 1

so Number is Divisible by 2 , 5 , 6 , 15 , 30    other than 3 and 10

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