Henry Ernest Dudeney/Modern Puzzles/65 - Dividing by 37
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Modern Puzzles by Henry Ernest Dudeney: $65$
- Dividing by $37$
- I want to know whether the number $49,129,308,213$ is exactly divisible by $37$,
- or if not, what is the remainder when so divided.
- How may I do this quite easily without any process of actual division whatever?
- It can be done by inspection in a few seconds -- if you know how.
Click here for solution
Sources
- 1926: Henry Ernest Dudeney: Modern Puzzles ... (previous) ... (next): Arithmetical and Algebraical Problems: Digital Puzzles: $65$. -- Dividing by $37$
- 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Digital Puzzles: $116$. Dividing by $37$