Students correct three errors — the factors of 12 missing the 4, 15 called prime, and the fifth multiple of 4 listed as 24 instead of 20. Part B has four fill-in-the-blank questions about what factors do, what 1 divides, and the third multiple of 6. Part C has two short-answer questions about factor versus multiple and all factor pairs of 24.
Listing complete factor pairs and distinguishing factors from multiples are the two foundational skills this sheet establishes.
Style:
Factors and Multiples
Part A: Fix the Sentence
Each sentence has an error. Rewrite it correctly on the line.
1. Fix the sentence:
The factors of 12 are 1, 2, 3, 6, and 12.
Rewrite: The factors of 12 are 1, 2, 3, 4, 6, and 12.
2. Fix the sentence:
15 is a prime number because it ends in 5.
Rewrite: 15 is a composite number because it has factors other than 1 and itself, such as 3 and 5.
3. Fix the sentence:
The first five multiples of 4 are 4, 8, 12, 16, 24.
Rewrite: The first five multiples of 4 are 4, 8, 12, 16, 20.
Part B: Fill in the Blank
Write the missing word or number on each line.
1. A factor of a number divides it with no remainder.
2. The number 1 is a factor of every number.
3. The first three multiples of 6 are 6, 12, and 18.
4. A number that has exactly two factors is called prime.
Part C: Short Answer
Answer each question in one or two complete sentences.
1. What is the difference between a factor and a multiple?
A factor divides evenly into a number, while a multiple is the result of multiplying that number by a whole number. For example, 3 is a factor of 12 and 12 is a multiple of 3.
2. List all the factor pairs of 24.
The factor pairs of 24 are 1 and 24, 2 and 12, 3 and 8, and 4 and 6.
Factors and Multiples
★ Part A: Fix the Sentence
Each sentence has an error. Rewrite it correctly on the line.
1) Fix the sentence:
The factors of 12 are 1, 2, 3, 6, and 12.
Rewrite: The factors of 12 are 1, 2, 3, 4, 6, and 12.
2) Fix the sentence:
15 is a prime number because it ends in 5.
Rewrite: 15 is a composite number because it has factors other than 1 and itself, such as 3 and 5.
3) Fix the sentence:
The first five multiples of 4 are 4, 8, 12, 16, 24.
Rewrite: The first five multiples of 4 are 4, 8, 12, 16, 20.
★ Part B: Fill in the Blank
Write the missing word or number on each line.
1) A factor of a number divides it with no remainder.
2) The number 1 is a factor of every number.
3) The first three multiples of 6 are 6, 12, and 18.
4) A number that has exactly two factors is called prime.
★ Part C: Short Answer
Answer each question in one or two complete sentences.
1) What is the difference between a factor and a multiple?
A factor divides evenly into a number, while a multiple is the result of multiplying that number by a whole number. For example, 3 is a factor of 12 and 12 is a multiple of 3.
2) List all the factor pairs of 24.
The factor pairs of 24 are 1 and 24, 2 and 12, 3 and 8, and 4 and 6.
Ready to Practice?
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9 Questions
15-20 minutes
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