Divisibility Rules 3, 6, 7, 9, 11, And 12

A Number Is Divisible By 3 If The ___ Of The Digits Is A Multiple Of _.

• Even

• Sum

• 3

• 12

Answer explanation

A Number Is Divisible By 3 If The Sum Of The Digits Is A Multiple Of 3.

A Number Is Divisible By 6 If It Is ____ And The Sum Of The Digits Is Divisible By _.

• Odd

• 2

• Even

• 3

Answer explanation

A Number Is Divisible By 6 If It Is Even And The Sum Of The Digits Is Divisible By 3.

To Determine If A Number Is Divisible By 7 We Do The Following Steps, What Are They?

• If The Difference Is A Multiple Of 7 Then The Given Number Is Divisible By 7

• Subtract The Product In Step A From The Number Without The Last Digit

• Multiply The Last Digit By 2

• In Short, The Numbers Must Be Divisible By Both 2 And 3

Answer explanation

We Do The Following Steps To Determine If A Number Is Divisible By 7:

A. Multiply The Last Digit By 2

B. Subtract The Product In Step A From The Number Without The Last Digit

C. If The Difference Is A Multiple Of 7 Then The Given Number Is Divisible By 7

A Number Is Divisible By 9 If The ___ Of The Digits Is A ________ Of 9.

• Multiple

• 9

• Sum

• 11

Answer explanation

A Number Is Divisible By 9 If The Sum Of The Digits Is A Multiple Of 9.

To Determine If A Number Is Divisible By 11 We Do The Following Steps, What Are They?

• Subtract The Lesser Sum From the Greatest Sum

• Add The Odd-Positioned Digits Starting From The Left

• If The Difference In Step C Is Even Or A Multiple Of 11, Then The Given Number Is Divisible By 11

• Add The Even-Positioned Digits Starting From The Left

Answer explanation

We Do The Following Steps To Determine If A Number Is Divisible By 11:

A. Add The Odd-Positioned Digits Starting From The Left

B. Add The Even-Positioned Digits Starting From The Same Thing, The Left.

C. Subtract The Lesser Sum From The Greatest Sum

If The Difference In Step C Is Even Or A Multiple Of 11, Then The Given Number Is Divisible By 11.

If The Sum Of The Digits Is A Multiple Of _ And The Last 2 Digits Are ______ Or Form A Number That Is A Multiple Of 4, Then The Number Is Divisible By 12.

• 12

• 3

• Zeroes

• 4

Answer explanation

If The Sum Of The Digits Is A Multiple Of 3 And The Last 2 Digits Are Zeroes Or Form A Number That Is A Multiple Of 4, Then The Number Is Divisible By 12.