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Prime Factorization

Authored by Robin Jennings

Mathematics

5th - 6th Grade

CCSS covered

Used 2K+ times

Prime Factorization
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This quiz focuses on prime factorization, a fundamental number theory concept in middle-grade mathematics. The questions assess students' understanding of breaking composite numbers into their prime factors and expressing these factorizations using exponential notation. Students need to master several key concepts to succeed: identifying prime numbers versus composite numbers, systematically decomposing numbers using division by primes, recognizing that prime factorization is unique for each number, and understanding exponential notation as a way to represent repeated prime factors. The complexity level and numerical range (18 to 196) indicate this material is appropriate for grades 5-6, where students transition from basic multiplication and division to more sophisticated number relationships. Students must also distinguish between prime factorization and other number relationships like factor lists or simple products of composite numbers. Created by Robin Jennings, a Mathematics teacher in US who teaches grade 5-6. This quiz serves as an excellent tool for both formative assessment and skill reinforcement in number theory units. Teachers can use it as a warm-up activity to gauge student readiness before introducing related concepts like least common multiple or greatest common factor, or as homework practice to solidify understanding after direct instruction. The mix of computational problems and conceptual questions makes it valuable for identifying students who can perform the mechanical steps but may lack deeper understanding of prime numbers and factorization principles. The quiz effectively supports standards 5.NBT.B.6 and 6.NS.B.4, which focus on finding common factors, multiples, and understanding that every whole number can be expressed as a product of prime factors.

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15 questions

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1.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

What is the prime factorization of 50?

1, 2, 5, 10, 25, 50
1 x 50
2 x 25
2 x 5 x 5

2.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

What is the prime factorization of 24?

2 x 12
2 x 2 x 2 x 3
4 x 6
1, 2, 3, 4, 6, 8, 12, 24

3.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

What is the prime factorization of 18?

2 x 9
2 x 3 x 3
1, 2, 3, 6, 9, 18
2 x 2 x 3

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

23 x 5 is the same as

2 x 3 x 5
30
2 x 2 x 2 x 5
6 x 5

Tags

CCSS.6.EE.A.1

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

52 x 7 is the same as

5 x 5 x 7
10 x 7
5 x 2 x 7
70

Tags

CCSS.6.EE.A.1

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the prime factorization of 31?

2 x 13
2 x 15
It's Prime
1 x 31

Tags

CCSS.4.OA.B.4

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the prime factorization of 45?

32 x 5
5 x 5 x 5
9 x 5
3 x 5

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