Question

is the number 1,890 is divisible by 5 and 6. give the reason​

Answer 1

Answer:

Yes , it is divisible by 5 & 6.

Step-by-step explanation:

Reason:

the sum of 1890 = 18

18 is divisible by 3 ⇒ 6*3 = 18  ⇒ 1890 is divisible by 3 .

the given number is divisible by 2 also  .

 Because in the units place the number is zero(0) .

Divisibility  Rule of 6 :  "When the given number is divisible by 2 & 3 , then it is also divisible by 6. "  

We should Check whether the give number is divisible by 5 .

     5)1890(379

        15║

           ∨

       ----------------                

          39

          35

       ------------------

             40

             40

       ---------------------

                 0   ⇒   Reminder  

       ----------------------

   ⇒ 1890 is divisible by 5 .

∴ The Given number divisible by 5 & 6

    Hope it helps you.

               Thank you

Answer 2

To Find :- is the number 1,890 is divisible by 5 and 6. give the reason ?

Solution :-

we know that,

• if a number is divisible by 2 and 3 both , it will be divisible by 6 also .

so, checking if the number is divisible by 2 and 3,

→ Divisibility rule of 2 :- If given number has 0,2,4,6 or 8 in last or unit digit , it will be divisible by 2 .

so,

• In 1890 = unit digit is 0 => It is divisible by 2 .

→ Divisibility rule of 3 :- if sum of all digits is divisible by 3,

the given number also divisible by 3 .

so,

• 1 + 8 + 9 + 0 = 18 = 18/3 = 0 remainder => Divisible by 3 .

therefore, we can conclude that, the given number is divisible by 6 .

now,

→ Divisibility rule of 5 :- If unit digit is 0 or 5 .

so,

• In 1890 = unit digit is 0 => It is divisible by 5.

Hence, the number 1,890 is divisible by 5 and 6 both .

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