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WorksheetsRules of Divisibility
Total questions: 93
Worksheet time: 4hrs 7mins
1,000 can be divisible by what number?
2, 3, 4, 5, 6, & 10
2, 4, 5, 6, 9 & 10
2, 4, 5, & 10
None of these answers
3,597 can be divisible by what number?
2
3
4
5
665 can be divisible by what number?
2
3
4
5
268 can be divisible by what number?
2
3
5
9
48 can be divisible by what number?
2
3
6
All Answers
650 can be divisible by what number?
2
3
4
6
324 can be divisible by what number?
5
6
7
10
93 can be divisible by what number?
2
3
4
5
What is the divisibility rule for 5?
The digits must add up to 10.
The last digit needs to be a 5 or 0.
The last digit can only be a 5.
The sum of the digits need to be divisible by 5.
70 can be evenly divided by which number?
5
10
2
All of the above
Is 81 divisible by 3?
Yes
No
What is the divisibility rule for 3?
Add up the digits. The sum must be even and divisible by 3.
The digits must add up to 9.
The last digit must be a 3.
Add up the digits. The sum must be divisible by 3.
252 is divisible by 6 because:
The digits add up to 6.
The sum of the digits is divisible by 6.
It's even and the sum of the digits is divisible by 3.
The sum of the digits is even.
Which of these numbers is divisible by 2 AND 5?
675
674
670
673
Which of the following numbers is NOT divisible by 4?
1000
1566
5740
2024
105 is NOT divisible by which number?
1
2
3
5
Which of these numbers is divisible by 3 AND 5?
85
115
73
105
Is 60,714 divisible by 3?
Yes
No
One number is divisible by another number if, after dividing...
everyone is happy
the quotient has no zeros
there is no remainder
the divisor has one digit
Rule of 2 - "If the __________ digit is even"
last
middle
first
all
Rule of 3 - "If the ___________ of the digits is divisible by 3"
sum
difference
quotient
product
Rule of 4 - "If the _________ ___________ digits form a 00 or multiple that is divisible by 4"
last two
first two
middle two
even number
Rule of 5 - "If the last digit is __________"
5 or 0
5
even
2, 5, or 10
Rule of 6 - "If the number is divisible by _______________."
2 and 3
2
3
2, 3, and 9
Rule of 9 - "If the sum of the __________ is divisible by 9"
digits
even numbers
odd numbers
quotient
Rule of 10 - "If the _____________ is 0"
last digit
even numbers
odd numbers
first digit
98 is divisible by...
2
2 and 3
2, 3, and 4
2, 3, and 9
65 is divisible by...
5
5 and 10
2 and 5
3 and 5
342 is divisible by...
2, 3, 6, and 9
2, 3, and 6
2 and 3
2, 3, 4, 6, and 9
5,250 is divisible by...
2, 3, 5, 6, and 10
2, 3, 5, and 10
2, 3, 5 and 6
2, 5, and 10
Which number is divisible by 2
143
87
45
78
Which number is divisible by 2?
247
392
175
933
Is 412 divisible by 3?
yes
no
Is 114 divisible by 3?
yes
no
Is 124 divisibly by 4?
yes
no
Is 240 divisible by 5?
no
yes
Is 246 divisible by 6?
yes
no
Is 212 divisible by 6?
yes
no
Is 2032 divisible by 8?
yes
no
Is 1,231 divisible by 8?
yes
no
is 135 divisible by 9?
no
yes
Is 364 divisible by 9
yes
no
Is 270 divisible by 10?
no
yes
Is 317 divisible by 10?
yes
no
What is the divisibility rule for 4?
The last two digits form a number divisible by 4
The last digit is a number divisible by 4
The last digit is even
The last digit is zero
What is the divisibility rule for 5?
It is divisible by 2 and 3
The last digit is a five
The last digit is five or zero
The last digit is zero
What is the divisibility rule of 3?
The sum of the digits is a number divisible by 3
The last digit is a 3
The last two digits form a number divisible by 3
The last digit is zero
What is the divisibility rule for 10?
It is divisible by 2 and 3
The last digit is a five
The last digit is five or zero
The last digit is zero
What is the divisibility rule of 9?
The sum of the digits is a number divisible by 3
The sum of the digits is a number divisible by 9
The last two digits form a number divisible by 3
The last digit is zero
What is the divisibility rule for 6?
It is divisible by 2 and 3
It is divisible by 3 and 4
It is divisible by 2 and 4
The last digit is zero
What is the divisibility rule of 2?
The sum of the digits equals a number divisible by 2
The last digit is 0
The last two digits form a number that is divisible by 2
The last digit is even
Which of the following statements is true of this number?
It is divisible by 2, 3, 4, 6, and 9
It is divisible by 2, 3, 6, and 9
It is divisible by 2, 3, 4, and 6
It is divisible by 2, 4, and 9
343 is divisible by 3. Hint: Add up the digits and see if the sum is a multiple of 3.
True
False
917,825,106 is divisible by 2. Hint: Determine if the number in the ones place is even.
True
False.
970 is divisible by 5. Hint: Determine if the number in the ones place is a 0 or a 5.
True
False
27 is divisible by 2. Hint: Determine if the number in the ones place is even.
True
False
8,425 is divisible by 5. Hint: Determine if the number in the ones place is a 0 or a 5.
True
False
73 is divisible by 10. Hint: Determine if the digit in the ones place is a 0.
True
False
84 is divisible by 3. Hint: Add up the digits and see if the sum is a multiple of 3.
True
False
7,154 is divisible by 2.
False because the digit in the thousands place is an odd number.
False because the sum of the digits (7 + 1 + 5 + 4) is 17 which is an odd number.
True because the digit in the ones place is a 4, and 4 is an even number.
True because the number in the thousands place is a 7.
462 is divisible by 3.
True because 4 + 6 + 2 = 12 and 12 is a multiple of 3.
True because the number in the ones place is even.
False because the number in the ones place is not a 3, 6, or 9
True because it contains a 6 which is a multiple of 3.
56 is divisible by 5.
True because the number in the tens place is a 5.
False because the number in the ones place is NOT a 0 or a 5.
False because the sum of the digits ( 5 + 6) is 11 which is not a multiple of 5.
True because the sum of the digits (5 + 6) is 11.
23 is divisible by 3.
True because the number in the ones place is a 3.
True because it is an odd number.
False because the sum of the digits (2+3) is 5 and 5 is not a multiple of 3.
False because the number does not end in 0 or 5.
78 is divisible by 2.
True because it is a small number.
True because the digit in the ones place is an even number.
False because the number in the tens place is a 7.
False because the number does not end in 0 or 5.
12, 505 is divisible by 10.
True because the number in the ones place is a 0 or 5.
True because this is a large number.
False because the number in the ones place is NOT 0.
False because the number in the ones place is NOT an even number.
52,850 is divisible by 2. Hint: Determine if the number in the ones place is even.
True
False.
2520 is divisible by 6 because:
It is divisible by 2 (even) and 5 (ends in a 0 or 5)
The sum of the digits is 12, a multiple of 6
It's divisible by 2 (even) and 3 (sum of digits is a multiple of 3)
The sum of the digits is even
252 is divisible by 9 because:
The number is divisible by 2 and 3
The sum of the digits is a multiple of 9.
The sum of the digits is a multiple of 3
The sum of the digits is even.
Is 19,584 divisible by 9?
Yes
No
How do you know if a number is divisible by 12?
The sum of the digits must be a multiple of 12
If it ends in 3, 6, or 9
If it is divisible by 3 and 4
If it is divisible by 2 or 3
252 is divisible by 9 because:
The digits add up to 18.
The sum of the digits is divisible by 9.
It's even and the sum of the digits is divisible by 3.
The sum of the digits is even.
60__2
Is 144 divisible by 12?
yes
no
Which of these numbers is divisible by 3?
124
135
146
157
What is the divisibility rule for 3?
The last digit is 3
The sum of the digits is divisible by 3
The number is even
The number ends in 3
