NAME: _________________________________________________ DATE: ________________
HANDOUT #8
CLASS: ___________
DIVISIBILITY RULES
# RULE
2 If the last digit is even, the number is divisible by 2.
3 If the sum of the digits is divisible by 3 or is a multiple of 3, the number is divisible by 3.
4 If the last two digits form a number divisible by 4, the number is divisible by 4.
5 If the last digit is a 5 or a 0, the number is divisible by 5.
6 If the number is divisible by both 3 and 2, it is also divisible by 6.
7
8
9
10
Take off the last digit, double it, and subtract it from the rest of the number; if the
answer is divisible by 7 or if the answer equals 0, then the number is divisible by 7.
If the last three digits form a number divisible by 8, then the number is divisible by 8.
If the sum of the digits is divisible by 9, the number is divisible by 9.
If the number ends in 0, it is divisible by 10.
DIVISIBLE: Capable of being divided evenly with no remainder. (Ex: 15 is divisible by 3 and 5)
In order to find out the FACTORS of any number, use the divisibility rules to help!
1. Prove that 144 is divisible by 2, 3, 4, 6 and 8.
2. List all the numbers from the table that are factors of 2,043. PROVE IT.
SHOW YOUR WORK
3. Circle the number that is NOT divisible by 3?
9,294
759,054
52,049
4. Is 1,438,962 divisible by 6? PROVE IT!
5. Using the word factor in your answer, explain to me why 4, 9 and 16 are square numbers
but 5, 6 and 8 aren’t.
6. List all the numbers from the table that are factors of 2,987,064. PROVE IT.
7. List all the numbers from the table that are factors of 213,463,710. PROVE IT.