Students complete nine problems about the number of factor pairs for 36, listing the factors of 28, and identifying which divisibility rules apply to 72. The matching activity pairs 16, 23, 30, and 12 with their correct factor counts — 8 factors, 2 factors, 8 factors, and 6 factors.
Matching numbers to factor counts reinforces systematic factor pair listing and rewards checking for completeness.
Style:
Factors and Multiples
Part A: Fill in the Blank
Write the missing word or number on each line.
1. 36 has 5 factor pairs in all.
2. The factors of 28 are 1, 2, 4, 7, 14, and 28.
3. 72 is divisible by 2, 3, and 9 because it ends in 2 and its digit sum is 9.
4. The factor pairs of 18 are (1,18), (2,9), and (3,6).
5. A number divisible by both 2 and 5 must end in 0.
6. 48 ÷ 6 = 8, so 6 and 8 are both factors of 48.
7. The digit sum of 123 is 1 + 2 + 3 = 6. Since that is divisible by 3, so is 123.
8. The largest factor of any number is the number itself.
9. The factor pairs of 40 are (1,40), (2,20), (4,10), and (5,8).
Part B: Matching
Match each item on the left to the correct answer on the right.
1. Match each item to its correct answer.
16
→ 5 factors
2 factors
23
→ 2 factors
6 factors
30
→ 8 factors
5 factors
12
→ 6 factors
8 factors
Factors and Multiples
★ Part A: Fill in the Blank
Write the missing word or number on each line.
1) 36 has 5 factor pairs in all.
2) The factors of 28 are 1, 2, 4, 7, 14, and 28.
3) 72 is divisible by 2, 3, and 9 because it ends in 2 and its digit sum is 9.
4) The factor pairs of 18 are (1,18), (2,9), and (3,6).
5) A number divisible by both 2 and 5 must end in 0.
6) 48 ÷ 6 = 8, so 6 and 8 are both factors of 48.
7) The digit sum of 123 is 1 + 2 + 3 = 6. Since that is divisible by 3, so is 123.
8) The largest factor of any number is the number itself.
9) The factor pairs of 40 are (1,40), (2,20), (4,10), and (5,8).
★ Part B: Matching
Match each item on the left to the correct answer on the right.
1) Match each item to its correct answer.
16
→ 5 factors
2 factors
23
→ 2 factors
6 factors
30
→ 8 factors
5 factors
12
→ 6 factors
8 factors
Ready to Practice?
Complete each section carefully.
10 Questions
10-15 minutes
Auto-graded
Retry anytime
🏆
Questions Correct
0
Correct
0
Incorrect
0
Skipped
0:00
Time
0%
Score
Review Your Answers
See what you got right, missed, or skipped.