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Advent calendar 2021
17 December
All 2021 advent puzzles
~
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The digital product of a number is computed by multiplying together all of its digits. For example, the digital product of 6273 is 252.
Today's number is the smallest number whose digital product is 252.
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252 can be written as the product of one-digit numbers in the following ways:
2×2×3×3×7
2×2×9×7
2×3×6×7
3×3×4×7
6×6×7
4×9×7
Therfore, the smallest number whose digital product is 252 is
479
.
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