Cube Number Quiz Puzzle Answer


We have another of those easy to state but hard to do puzzles this week.

There are four three-digit numbers that equal the sum of the cubes of their digits, and your challenge is to find them.

For example, with 123, 1 cubed + 2 cubed +3 cubed = 1 + 8 + 27 = 36, which doesn't work. But there are four numbers that do work - can you find them?

The numbers are:

153: 1 cubed + 5 cubed + 3 cubed = 1 + 125 + 27 = 153

370: 3 cubed + 7 cubed + 0 cubed = 27 + 343 + 0 = 370

371: 3 cubed + 7 cubed + 1 cubed = 27 + 343 + 1 = 371

407: 4 cubed + 0 cubed + 7 cubed = 64 + 0 + 343 = 407

How many did you get?

 

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