Divisibility Test: Is 564 Divisible by 3?

Determine if the following number is divisible by 3:

564 564

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Step-by-step video solution

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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

Step-by-step written solution

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1

Understand the problem

Determine if the following number is divisible by 3:

564 564

2

Step-by-step solution

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

  • A number is divisible by 3 if the sum of its digits is divisible by 3.

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

5+6+4=15 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:

15รท3=5 15 \div 3 = 5

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

Thus, the correct answer is Yes.

3

Final Answer

Yes

Practice Quiz

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Determine if the following number is divisible by 3:

\( 352 \)

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