Question

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Mathematics: 6th Grade:::

1) Write the smallest and the largest 5 digit number using 1,2,3,4,5 only which is divisible by 6.

Answer 1

To be divisible by 6, it must be divisible by 2 and 3:

• Divisible by 2: The number must end with an even digit to be divisible by 2
• Divisible by 3: Sum of all the digits must be divisible by 3. (1 + 2 + 3 + 4 + 5 = 15 which is divisible by 3) ✓

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Smallest Possible Number:

Smallest possible number = 12345

Smallest possible even number = 12354

Check: 12354 ÷ 6 = 2059 ✓

The smallest number is 12354

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Largest Possible Number:

Largest possible number = 54321

Largest even number = 54312

Check: 54312 ÷ 6 =9052 ✓

The largest number is 54312

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Answer: The smallest number is 12354 and the largest number is 54312

Answer 2

for divisibility by 2 the number should be even number

for divisibility by 6 number should be divisible by 3 and 2

12354 :- 1 + 2 + 3 + 5 + 4 = 15 divisible by 3

its even number also divisible by 2

therefore 12354 is smallest number divisible by 6