Divisibility Rules
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1Divisibility Rules
Name: ___________________
Date: ____________________
I.
Divisibility Rules. Fill in the blank to correctly complete each divisibility rule.
1. A number is divisible by _______ if the sum of the digits is divisible by 9.
2. A number is divisible by _______ if the last digit is a 0.
3. A number is divisible by _______ if the last digit is a 0 or a 5.
4. A number is divisible by _______ if the number is even (ends in a 0, 2, 4, 6, or 8).
5. A number is divisible by _______ if the sum of the digits is divisible by 3.
6. A number is divisible by _______ if the number is divisible by 2 and 3.
7. A number is divisible by _______ if the last two digits form a number that is
divisible by 4.
II.
Complete the chart. Use the divisibility rules to decide if each number is divisible by
2, 3, 4, 5, 6, 9, and 10. Write Yes or No in each section of the chart.
2
3
4
5
6
9
10
250
963
1,248
III.
Use a basic fact and patterns to find each quotient.
1. 160 ÷ 2 = ________________________________
2. 2.400 ÷ 3 = _______________________________
3. 8,100 ÷ 9 = ______________________________
IV.
Estimate each quotient. Tell what compatible numbers you used. For example: The
problem is 271 ÷ 3, you know that 3 can go into 27 (3 and 27 are my compatible
numbers). Therefore, you change 271 to 270 and get an answer of 90.
1. 1,521 ÷ 3 Compatible Numbers: _________________ Estimate: ___________
2. 4,109 ÷ 8 Compatible Numbers: _________________ Estimate: ___________
V.
Write a related multiplication or division sentence. Then find each “n”.
1. 45 ÷ 5 = n
___________________________________________
2. n x 6 = 48
___________________________________________
VI.
Complete each input/output table.
Rule: Divide by 4
Input
Output
16
?
?
5
VII. Order of Operations. Find each n.
1. 12 ÷ 3 + 5 = n
_______________________________________
2. (10 ÷ 2) x 3 + 4 x 4 = n
_______________________________________
3. 15 – 10 ÷ 5 = n
_______________________________________
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