Divisibility Test: Is 564 Divisible by 3?

Question

Determine if the following number is divisible by 3:

$564$

00:00 Determine if the number is divisible by 3

00:04 A number is divisible by 3 only if the sum of its digits is divisible by 3

00:08 Let's sum its digits and divide by 3

00:12 The sum of digits is divisible by 3, therefore the number is divisible by 3

00:16 And this is the solution to the question

To determine if the number 564 is divisible by 3, we apply the divisibility rule for 3:

Let's calculate the sum of the digits of 564:

$5 + 6 + 4 = 15$

Next, we check if 15 is divisible by 3. Since 15 can be divided by 3 without a remainder, it is divisible by 3:

$15 \div 3 = 5$

Therefore, based on the divisibility rule, 564 is divisible by 3.

Thus, the correct answer is Yes.

Yes