Henry Ernest Dudeney/Modern Puzzles/62 - Factorizing/Solution

by : $62$

 * Factorizing

Proof
This specific result is an instance of Prime Factors of One More than Power of 10, the first few of which have been documented there.

Indeed, this is an instance of Prime Factors of One More than Power of 10/Number of Zero Digits Congruent to 2 Modulo 3.

Also see

 * Prime Factors of One More than Power of 10
 * Prime Factors of One More than Power of 10/Number of Zero Digits Even