Digit Product of 12
Number Theory
Level
2
How many numbers have a digit product of 12 if 1 is not a digit and it may have any number of digits?
4
6
2
7
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1 solution
12 = 2 × 6 (2! = 2 orders)
= 3 × 4 (2! = 2 orders)
= 2 × 2 × 3 (3! / 2! = 3 orders)
Answer = 2 + 2 + 3 = 7
Numbers : 26, 34, 43, 62, 223, 232 & 322.