Sunday 15 November 2020

Blog Post 120: Fascinating world of Prime factors

The world of prime numbers and prime factors has been always fascinating and always amazes me with interesting patterns.

As we start a new week after the Diwali long week-end, 17th November being the first working day for many of us in this part of the world, here's a short but interesting sequence starting with the number 1711 (dd-mm format for 17th Nov)

- To start with, 1711 is made up of two prime numbers - 17 and 11

- 1711 itself is not a prime but a product of two prime numbers - 29 and 59

- Next form a 4 digit number combining 29 and 59 which gives us 2959. 2959 is not a prime but again a product of two primes! - 11 and 269

- Let's go a step further and form a 5 digit number with 11 and 269 which gives us 11269. What's interesting is that 11269 follows the same pattern - It is not a prime but again it is a product of two primes - 59 and 191 (As a side trivia, check how 59 appears across multiple numbers here)

- Next in line - the 5 digit number 59191 (59 and 191 together). Voila - 59191 is also a product of two primes 11 and 5381!!

Tempted to go one step further

- 115381 - this is a product of 7 and 16483 while 16483 in turn is a product of 53 and 311

Though in some sense the sequence is "broken" as 115381 is a product of three prime numbers instead of two but we could see the sheer beauty of prime factorization in play through this example

What could we learn from Prime factors - the need to have a differentiated offering in whatever we do and create something unique

Dedicated to some of my colleagues, friends who are celebrating their work anniversaries or birthdays or other events on 17/11!