Divisibility and Digit Sums

The video tutorial by Mr. J explains the divisibility rule for 6, which states that a number is divisible by 6 if it is divisible by both 2 and 3. The tutorial provides four examples to illustrate this rule. For each example, the video checks if the number is even (divisible by 2) and if the sum of its digits is divisible by 3. The examples include numbers 312, 88,527, 68,052, and 542,040. The video concludes with a summary of the rule and its application.

What must be true for a number to be divisible by 6?

• It must be an odd number.

• It must be divisible by both 2 and 3.

• It must be divisible by 2 only.

• It must be divisible by 3 only.

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CCSS.2.OA.C.3

What is the last digit of a number that makes it divisible by 2?

• 2

• 5

• 3

• 1

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CCSS.2.NBT.A.3

What is the sum of the digits of 312?

• 5

• 6

• 7

• 8

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CCSS.4.OA.B.4

Why is 88,527 not divisible by 6?

• It is not divisible by 2.

• It is an even number.

• It is not divisible by 3.

• It is divisible by both 2 and 3.

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CCSS.3.OA.D.9

What is the last digit of 68,052?

• 2

• 0

• 5

• 8

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CCSS.4.NBT.A.2

What is the sum of the digits of 68,052?

• 19

• 20

• 21

• 22

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CCSS.3.OA.D.9

What is the last digit of 542,040?

• 5

• 6

• 4

• 0

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CCSS.4.NBT.A.2

What is the sum of the digits of 542,040?

• 14

• 15

• 16

• 17

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CCSS.4.OA.B.4

Which of the following numbers is divisible by 6?

• 88,527

• 68,053

• 312

• 542,041

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CCSS.3.OA.B.6

What is the result of dividing 15 by 3?

• 7

• 5

• 6

• 4

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CCSS.3.OA.B.6