Standard Mathematics Primary 4 Factors and Multiples

At a Maxwell Hawker Centre event, 36 food stalls are numbered 1 to 36. Which stall number is BOTH a factor of 36 AND a multiple of 4?

A 12
B 8
C 9
D 16
Show Worked Solution

Worked Solution

Step 1: List the factors of 36. These are numbers that divide 36 exactly: Factors of 36 = {1, 2, 3, 4, 6, 9, 12, 18, 36}. Step 2: List the relevant multiples of 4 (only those ≤ 36): Multiples of 4 = {4, 8, 12, 16, 20, 24, 28, 32, 36}. Step 3: Find the numbers that appear in BOTH lists: Common to both = {4, 12, 36}. Step 4: From the four options {12, 8, 9, 16}, only 12 is in {4, 12, 36}. Answer: 12. Check: 36 ÷ 12 = 3 ✓ (factor) and 12 ÷ 4 = 3 ✓ (multiple of 4). Answer: 12

Correct answer: 12

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