Divisibility by 4, 6, and 8

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Show your work for each problem.

1.
Which number is divisible by $4$ ?
1. a)918
2. b)716
3. c)334
4. d)526
2.
$1000 = 8 \times \square$ . What number goes in the box?
3.
Show that $6148$ is divisible by $4$ and find $6148 \div 4$ .
4.
Which rule tells you whether a number is divisible by $8$ ?
1. a)The last two digits form a number divisible by 8
2. b)The last three digits form a number divisible by 8
3. c)The digit sum is divisible by 8
4. d)The last digit is even
5.
What is the remainder when $9234$ is divided by $4$ ?
6.
Is $2736$ divisible by $8$ ? Use the last three digits, then find $2736 \div 8$ .
7.
Which number is divisible by $6$ ?
1. a)1035
2. b)2346
3. c)4072
4. d)5114
8.
What is the smallest digit that can go in the box so that $73\square$ is divisible by $4$ ?
9.
Is $4326$ divisible by $6$ ? Test $2$ and $3$ , then find $4326 \div 6$ .
10.
Use the tens digit shortcut to decide whether $9374$ is divisible by $4$ , then find the remainder.
11.
A whole number is divisible by $8$ . Which statement must be true?
1. a)It is divisible by 6
2. b)It is divisible by 4
3. c)It is odd
4. d)It is divisible by 16
12.
What is the largest digit that can go in the box so that $51\square$ is divisible by $6$ ?
13.
A shop packs $3480$ pencils in boxes of $8$ . Check with the rule for $8$ that none are left over, then find the number of boxes.
14.
Which of these years is a leap year?
1. a)2000
2. b)1900
3. c)2100
4. d)1800
15.
What is the remainder when $74{,}350$ is divided by $8$ ?
16.
Decide whether $2100$ will be a leap year and how many days February $2100$ will have.
17.
Find the largest digit that can go in the box so that $74\square6$ is divisible by $8$ .
18.
A farm has $5760$ eggs. Show that they fit exactly in boxes of $6$ and also in boxes of $8$ , then find how many boxes of $8$ it can fill.