Product of Digits Analogy
Product of Digits Analogy problems involve number pairs where the second number is the product of the digits of the first number. For example, in the pair 23:6 (2×3=6). You may also encounter product of digits with additional operations. These problems test digit manipulation and multiplication skills.
What You'll Learn
Introduction to Product of Digits Analogy
Product of Digits Analogy problems involve number pairs where the second number is the product of the digits of the first number. For example, in the pair 23:6 (2×3=6). You may also encounter product of digits with additional operations. These problems test digit manipulation and multiplication skills.
Prerequisites
How to Solve Product of Digits Analogy Problems
Step 1: Identify the two numbers in the given analogy pair (A:B)
Step 2: Calculate the product of digits of A: P = product of digits of A
Step 3: Check if B equals P (or P with additional operation)
Step 4: Common variations: B = P ± k, B = P × k, B = P², etc.
Step 5: Apply the same operation to the second pair's first number
Step 6: Verify the pattern with all given examples
Step 7: Present the answer
Example Problem
Example: 23 : 6 :: 45 : ? Solution: Step 1: First pair: 23 and 6 Step 2: Product of digits of 23 = 2×3 = 6 Step 3: Relationship: Second number = product of digits of first Step 4: Apply to 45: 4×5 = 20 Answer: 20
Pro Tips & Tricks
- Product of digits = multiply all digits together
- If any digit is 0, the product is 0 (regardless of other digits)
- Examples: 123 → 1×2×3=6, 405 → 4×0×5=0, 99 → 9×9=81
- Watch for patterns where product is then added/subtracted to a constant
- Product of digits can be large for numbers with digits > 1
- For numbers with repeated digits, product may be perfect square (e.g., 33 → 9)
Shortcut Methods to Solve Faster
Common Mistakes to Avoid
Practice Worksheets
Practice makes perfect! Work through these worksheets to master Product of Digits Analogy. Each worksheet contains 20 questions with detailed explanations. Start from Worksheet 1 and progress through increasing difficulty levels.
Exam Importance
Product of Digits Analogy is an important topic for various competitive exams. Here's how frequently it appears:
Ready to Master Product of Digits Analogy?
Start with Worksheet 1 and work your way up to expert level! Each worksheet includes: