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# The Rules for Divisibility Focus 3: 6.NS.2 - PowerPoint PPT Presentation

The Rules for Divisibility Focus 3: 6.NS.2. Start on a “Fresh Left” page! Heading for your Math Workbook Page. "Divisible By" means "when you divide one number by another the result is a whole number “ (no remainders!) A number is divisible by……. 2 if…. The last digit is even (0,2,4,6,8 )

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### The Rules for DivisibilityFocus 3: 6.NS.2

"Divisible By" means "when you divide one number by another the result is a whole number“

(no remainders!)

A number is divisible by……

• The last digit is even (0,2,4,6,8)

• 128Yes129No

5 if…

• The last digit is 0 or 5

• 175Yes809No

10 if…

• The number ends in 0

• 220Yes221No

3 if…

• The sum of the digits is divisible by 3

• 381 (3+8+1=12, and 12÷3 = 4) Yes217 (2+1+7=10, and 10÷3 = 3 1/3) No

9if…

• The sum of the digits is divisible by 9

• 1,629 (1+6+2+9=18, then, 1+8=9) Yes

• 2,013 (2+0+1+3=6) No

6if…

• The number is divisible by both 2and3

• 114 (it is even, and1+1+4=6 and 6÷3 = 2) Yes

• 308 (it is even, but 3+0+8=11 and 11÷3 = 3 2/3) No

4if…

• The last 2 digits are divisible by 4

• 1312(12÷4=3) Yes7019 (19÷4=4.75) NO

8 if…

• The last three digits are divisible by 8

• 109816(816÷8=102) Yes

• 216302(302÷8=37 3/4) No

• Not only are there divisibility tests for larger numbers, but there are more tests for the numbers we have shown.

• Factors Can Be Useful!! (Factors are the numbers you multiply to get another number.)

When a number is divisible by another number ...

…then it is also divisible by each of the factors of that number.

• Example: If a number is divisible by 6, it is also divisible by 2 and 3

• Example: If a number is divisible by 12, it is also divisible by 2, 3, 4 and 6