Divisibility Rules

Name:

Class:

Date:

Show your work for each problem.

1.
Which number is divisible by $2$ ?
1. a) $35$
2. b) $47$
3. c) $82$
4. d) $91$
2.
Which number is divisible by $5$ ?
1. a) $785$
2. b) $123$
3. c) $892$
4. d) $456$
3.
What is the sum of the digits of $372$ ?
4.
Which number is divisible by $3$ ?
1. a) $250$
2. b) $248$
3. c) $244$
4. d) $246$
5.
Which number is divisible by $10$ ?
1. a) $432$
2. b) $245$
3. c) $310$
4. d) $567$
6.
Is $738$ divisible by $3$ ? Work it out step by step.
7.
Which number is divisible by $4$ ?
1. a) $524$
2. b) $514$
3. c) $554$
4. d) $534$
8.
Which number is divisible by both $2$ AND $3$ (therefore divisible by $6$ )?
1. a) $45$
2. b) $85$
3. c) $52$
4. d) $78$
9.
Is $1{,}845$ divisible by $9$ ?
10.
What are the last two digits of $2{,}736$ ?
11.
Is $456$ divisible by $6$ ?
12.
Which number is divisible by $9$ but NOT by $6$ ?
1. a) $270$
2. b) $189$
3. c) $162$
4. d) $234$
13.
What is the remainder when $3{,}574$ is divided by $4$ ? Use only the last two digits.
14.
A school has $342$ students. Can they form teams of exactly $9$ students with no one left over? If so, how many teams?
15.
Which divisibility rules does $2{,}340$ satisfy: $2$ , $3$ , $4$ , $5$ , $6$ , $9$ , $10$ ?