Question

fill in the blank with smallest value 456_7 divisible by 3​

Answer 1

Answer:

the answer is 45627

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Answer 2

Answer:

$\large\boxed{\sf{2}}$

Step-by-step explanation:

Given a number such that,

• 456_7

Where, "_" is to be filled by a smallest number to make it divisible by 3.

Now, let the required number is x.

Also, we know that,

For a number to be divisble by 3, the sum of all it's digits must be divisble by 3.

Therefore, finding the sum of digits, we get,

= 4 + 5 + 6 + x + 7

= 9 + 6 + 7 + x

= 15 + 7 + x

= 22 + x

Now, we have to find the number just greater than 22 and divisble by 3.

We know that, 24 is that number.

Also, it should be equal to (22+x)

Therefore, we will get,

=> 22 + x = 24

=> x = 24 - 22

=> x = 2

Therefore, the number will be 45627

Hence, the smallest number required is 2.