DID × TO = THOSE
What is this puzzle?
Solve the multiplication alphametic puzzle where DID × TO = THOSE. Each letter represents a unique digit from 0-9. No number starts with zero.
Difficulty: medium · Category: multiplication · Unique letters: 7
This medium-level multiplication alphametic puzzle features 7 unique letters (D, E, H, I, O, S, T). In the equation DID × TO = THOSE, each letter maps to a distinct digit from 0 to 9. With only 7 of 10 digits used, 3 digits remain unused in the solution. The leading letters D and T cannot represent zero — this is your first constraint. The result "THOSE" has more digits than any addend, which means there must be a carry into the leftmost position. This is a crucial clue for determining the result's leading letter.
- This multiplication alphametic has 7 unique letters to determine.
- Leading letters: D, T. None of these can be zero.
- There are 7 unique letters, so 3 digits from 0–9 will not be used.
- Consider the partial products and how they contribute to each column of the final result.
- A moderate number of letters means you'll need logical deduction alongside trial and error.
Play this puzzle
DID
×
TO
THOSE
D=
E=
H=
I=
O=
S=
T=