Practice A: Multiples and Factors
Chapter 3 · Consolidation 1
Mixed consolidation. Attempt problems independently before revealing the solutions.
Find the 4th positive multiple of 14.
Show answer & reasoning
14 × 4 = 56.
Will 40 be a common multiple of 10 and 4? Explain.
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40 is two times their least common multiple, so both numbers divide it.
Is 16 a factor of 80? Give a reason.
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80 ÷ 16 = 5, a whole number.
Classify 10 as prime, composite, or neither.
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The positive factors are 1, 2, 5, 10. Prime means exactly two positive factors; 1 is neither prime nor composite.
What is the greatest common factor of 18 and 45?
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The GCF is the largest whole number dividing both with no remainder: 9.
Find the 9th positive multiple of 5.
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5 × 9 = 45.
Find the least positive common multiple of 10 and 11.
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List positive multiples of each or use prime factors to locate the first shared positive multiple: 110.
Is 12 a factor of 84? Give a reason.
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84 ÷ 12 = 7, a whole number.
Classify 23 as prime, composite, or neither.
Show answer & reasoning
The positive factors are 1, 23. Prime means exactly two positive factors; 1 is neither prime nor composite.
What is the greatest common factor of 22 and 42?
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The GCF is the largest whole number dividing both with no remainder: 2.
Find the 10th positive multiple of 10.
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10 × 10 = 100.
Find the least positive common multiple of 13 and 12.
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List positive multiples of each or use prime factors to locate the first shared positive multiple: 156.
List all positive factors of 81.
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Each factor divides 81 with no remainder; pair divisors with their matching quotients.
Classify 1 as prime, composite, or neither.
Show answer & reasoning
The positive factors are 1. Prime means exactly two positive factors; 1 is neither prime nor composite.
What is the greatest common factor of 32 and 45?
Show answer & reasoning
The GCF is the largest whole number dividing both with no remainder: 1.
Find the 11th positive multiple of 10.
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10 × 11 = 110.
Find the least positive common multiple of 11 and 5.
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List positive multiples of each or use prime factors to locate the first shared positive multiple: 55.
List all positive factors of 256.
Show answer & reasoning
Each factor divides 256 with no remainder; pair divisors with their matching quotients.