Build the Smallest Number for a Given Digit Product in JavaScript - Greedy Trick You'll Love! Now!!!

🎥 Smallest Number from Digit Product in JavaScript — Build Minimal Integer from a Given Product
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What the video teaches
You’ll learn how to construct the smallest positive integer whose digits multiply to a given product, and understand the reasoning that makes the greedy approach correct. This lesson walks through factor decomposition into digit-friendly factors, handling special cases (product 0 or 1), and why the final digit order matters for producing the minimal numeric value.
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Key learning points:
• How to break a target product into digit factors (prefer digits 9 down to 2) so digits themselves multiply to the product.
• Why composing digits from smaller primes in a greedy, right-to-left way yields the smallest possible integer.
• Edge cases to watch for: product = 0, product = 1, impossible products, leading-zero pitfalls, and handling very large values safely.
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Prerequisites or what the viewer needs
Basic knowledge of factors and prime decomposition, and beginner-level JavaScript familiarity (strings and arrays help if you later implement the approach). No advanced math required — we keep the explanation visual and stepwise.
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📚 Resources
• Articles on factorization and greedy digit construction strategies.
• Problem pages exploring digit-product puzzles and interview variants.
• Notes on handling product-zero and product-one special cases and when BigInt may be needed.
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Call to action
If this helped, give the video a thumbs up and subscribe for more algorithm tips. Drop a product value in the comments and I’ll show the exact smallest number (or explain why none exists) — great practice for interviews!
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🎯 YouTube Tags:
#javascript #digitproduct #smallestnumber #digits #greedyalgorithm #numbertheory #bignumbers #algorithms #codingchallenge #jstutorial #learnjavascript #interviewprep #mathpuzzle #programming #developer #problemSolving #digitsconstruction #edgecases #bigint
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