Question

without actual division. using divisibility rule classify the following numbers as divisible by 3.4.5.11 583 question​

Answer 1

1. 5+8+3 = 16. Since 16 is not divisible by 3, so the no is not divisible by 3.
2. 583- the last two digits (83) is not divisible by 4, so the no. is not divisible by 4.
3. Since the ones digit is neither 0 nor 5, so 583 is not divisible by 5.
4. 5+3 = 8 , 8-8 =0. Since the difference between the sum of digits at odd place and the sum of digits at even place must be 0 or divisible by 11. Here it is 0, so it is divisible by 11.

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Answer 2

Answer:

Step-by-step explanation:

583 is divisible by 11, if there is an integer 'n' such that 583 = 'n' × 11.

Notice that dividing our numbers leaves no remainder:

583 ÷ 11 = 53 + 0;

So, 583 = 53 × 11;

So, 583 is divisible by 11;

11 is called a divisor of 583

584 is divisible by 3, we will add up the digits that make 584 as follows: 5 + 8 + 4 = 17

We know that if the sum of the numbers that make up 584 is divisible by 3, then 584 is divisible by 3.

Since the sum of the digits in 584 is not divisible by 3, 584 is also NOT divisible by 3.

583 is divisible by 8, if there is an integer 'n' such that 583 = 'n' × 8.

that dividing our numbers leaves a remainder:

583 ÷ 8 = 72 + 7;

There is no integer 'n' such that 583 = 'n' × 8.

583 is not divisible by 8

583 is divisible by 5 if 583 divided by 5 results in a whole number with no remainder.

Instead of getting out the calculator to find if it results in a whole number, note that the last digits of any number must end with 0 or 5 to be divisible by 5.

The last digit of 583 is 3.

Therefore, 583 is not divisible by 5.