- Divisibility Rules 2-12. Pre-Algebra: (Leftovers) #24

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A number is divisible by another number if…

it leaves no remainder

A number is divisible by 2 if ______.

(ENDS IN) it is even — (the last digit is 0, 2, 4, 6, or 8)

A number is divisible by 3 if ______.

(SUM) -the sum of its digits is divisible by 3

A number is divisible by 4 if ______.

(~FINAL) -the final two digits form a number divisible by 4

A number is divisible by 5 if _________.

(ENDS IN) -the last digit is a 0 or 5

A number is divisible by 6 if ______.

(AND) it is divisible by 2 and 3

(By 7) Recite the Steps

1. Remove the last digit, double it, and subtract it from the shortened number.

2. If the difference is divisible by 7, then the original number is divisible by 7; if not, then repeat.

A number is divisible by 8 if ________.

(~FINAL) -the final THREE digits form a number divisible by 8.

A number is divisible by 9 if ______.

(SUM) - the sum of its digits is divisible by 9.

A number is divisible by 10 if _______.

(ENDS IN) -it ends in a 0

(By 11) Recite the steps for 11

1. (Σodd) - (Σeven) or (SUM OF ODD NUMBER PLACES) - (SUM OF EVEN NUMBER PLACES)

2. If the difference is divisible by 11, then the original number is divisible by 11.

A number is divisible by 12 if _________.

(AND) -the number is divisible by 3 AND 4