Fourth graders dig into prime factorization and common-factor reasoning across nine fill-in-the-blank items: the GCF of 16 and 24, the LCM of 6 and 10, the missing prime in 24's factorization, what the GCF of two prime numbers always equals, and the LCM of 7 and 14.
Part B is a four-way matching challenge where students sort 29, 45, 64, and 1 into categories like prime number, composite perfect square, composite divisible by 5, and neither prime nor composite. That last category is exactly where careful thinkers separate themselves, since 1 trips up most beginners.
Style:
Factors and Multiples
Part A: Fill in the Blank
Write the missing word or number on each line.
1. The GCF of 16 and 24 is 8.
2. The LCM of 6 and 10 is 30.
3. The prime factorization of 24 is 2 × 2 × 2 × 3.
4. The GCF of two prime numbers is always 1.
5. The prime factorization of 50 is 2 × 5 × 5.
6. The LCM of 7 and 14 is 14.
7. The GCF of 36 and 48 is 12.
8. The prime factorization of 60 is 2 × 2 × 3 × 5.
9. The LCM of 8 and 10 is 40.
Part B: Matching
Match each item on the left to the correct answer on the right.
1. Match each number to its correct classification.
29
→ Prime number
Composite, divisible by 5
45
→ Composite, divisible by 5
Neither prime nor composite
64
→ Composite, perfect square
Prime number
1
→ Neither prime nor composite
Composite, perfect square
Factors and Multiples
★ Part A: Fill in the Blank
Write the missing word or number on each line.
1) The GCF of 16 and 24 is 8.
2) The LCM of 6 and 10 is 30.
3) The prime factorization of 24 is 2 × 2 × 2 × 3.
4) The GCF of two prime numbers is always 1.
5) The prime factorization of 50 is 2 × 5 × 5.
6) The LCM of 7 and 14 is 14.
7) The GCF of 36 and 48 is 12.
8) The prime factorization of 60 is 2 × 2 × 3 × 5.
9) The LCM of 8 and 10 is 40.
★ Part B: Matching
Match each item on the left to the correct answer on the right.
1) Match each number to its correct classification.
29
→ Prime number
Composite, divisible by 5
45
→ Composite, divisible by 5
Neither prime nor composite
64
→ Composite, perfect square
Prime number
1
→ Neither prime nor composite
Composite, perfect square
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.