Question

find all the numbers between 283 and 297 that are divisible by both 2 and 3​

Answer 1

Answer: 284, 286, 288, 290, 292, 294, 296 are numbers divisible by 2.

285, 288, 291, 294, 297 are numbers divisible by 3

Step-by-step explanation: therefore common numbers are 288, 294

Hope it helps

Answer 2

288 and 294 are the two numbers between 283 and 297 that are divisible by both 2 and 3.

Given:

• Number between 283 and 297.

To find:

• Find the number between given numbers which are divisible by 2and 3 both.

Solution:

Concept/formula to be used:

1. Divisibility by 6: If a number is divisible by both 2 and 3, then the number is divisible by 6.
2. Divisibility by 2:When a number is even, it is divisible by 2.
3. Divisibility by 3 :When sum of digits of number is divisible by 3 then the number is divisible by 3.

Step 1:

Write the numbers between 283 and 297.

The numbers are

284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296.

Step 2:

Find the numbers which are divisible by 2 and 3.

From the above written numbers, exclude the odd numbers.

Remaining numbers are: 284,286,288,290,292,294,296

All these are divisible by 2.

Now check the divisibility by 3:

$\bf 284 = 2 + 8 + 4 = 14$

14 is not divisible by 3.

So, we can't take this number.

Now, check for the next number.

$\bf 286 = 2 + 8 + 6 = 16$

16 is not divisible by 3.

So, we can't take this number.

Now, check for the next number.

$\bf 288 = 2 + 8 + 8 = 18$

18 is divisible by 3.

288 is the number, which is divisible by 2 and 3 both.

Similarly,

290,292,296 are not divisible by 3.

But 294 is divisible by 3,because the sum of its digits is 15.

Thus,

288 and 294 are the two numbers between 283 and 297 that are divisible by both 2 and 3 .

Learn more:

1) What is the number of 6-digit numbers that can be formed only by using 0, 1, 2, 3, 4 and 5 (each once); and divisible...

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2) write all the three digit number formed using digits 1,5,3

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