Arithmetic of Licence Plates

A Father-Son Discovery

When our son Nikhil was in Grade 3, he encountered his first mathematical roadblock: division. Along with it came the twin challenges of prime numbers and factors – concepts that can confound young minds. Rather than resort to worksheets and drills, we decided to make arithmetic come alive through a game that transformed everyday commutes into learning adventures.

Nikhil and I spent nearly half an hour together in the car each day – driving to school, picking him up, ferrying him to swimming practice, tennis lessons, or music class. He affectionately called this our father-son time, using it to discuss topics he thought might attract teasing from his mother or sister. This tradition continues to this day, the subjects evolving as Nikhil progressed from Grade 3 to Grade 12.

Drawing from Memory

I reached back into my own school days, specifically to lessons from Mr. Venkitesha Murthy, our Grade 7 mathematics teacher. Mr. Murthy possessed a rare gift: he taught mathematics through stories, anecdotes, and riddles. He inspired us with tales of Indian mathematical giants – Ramanujan, Bhaskara, and Aryabhatta. Even in Grade 7, I had struggled to grasp factors and prime numbers, so Nikhil’s difficulty came as no surprise. What mattered was finding the right approach.

The Licence Plate Game

In Ontario, most licence plates follow a pattern: four letters followed by three digits. Three-digit numbers proved perfectly manageable for a Grade 3 student. So we devised a simple game. Every vehicle we encountered on our drives became a mathematical puzzle to solve.

We would analyse each number systematically:

  • Is it even or odd? That determined divisibility by 2.
  • Add all the digits. If the sum was 3, 6, or 9, the number was divisible by 3.
  • For even numbers, if the last two digits were divisible by 4, then 4 was a factor.
  • If the last digit was 5 or 0, the number was divisible by 5.
  • If both 2 and 3 were factors, then 6 automatically became a factor.
  • If the sum of digits was 9, the number was divisible by 9.
  • If the last digit was 0, then 10 was a factor.

Each day, we analysed about ten licence plates. Within weeks, the mysteries of division, factors, and prime numbers had largely dissolved.

A Licence Plate That Defined Me

licenceplate

Shortly after our arrival in Canada, my wife bought me a new Honda Accord. When I went to take delivery, the agency had already procured my licence plate: BBZW 139.

In North America, licence plates belong to the owner, not the vehicle. When you sell or change vehicles, you keep your plates and affix them to the new one. Thus, BBZW 139 remained with me through three car changes.

The number 139 intrigued me. It is odd. It is prime – divisible only by 1 and itself. I came to see it as a reflection of my personality: unable to be affected by external factors, undivided by anything other than the Almighty and myself.

The Curious Case of 13

The digits of 139 add up to 13 – my birth date (13 March). My school roll number was 931, which also summed to 13. My Defence Account Number was 161005, adding once again to 13. The coincidences multiplied.

I do not believe in numerology or astrology, so this trail of 13 has never cast its supposed bad luck upon me. Nor has it brought exceptional fortune. It simply is.

The Many Faces of Thirteen

The number 13 carries rich cultural associations:

  • Baker’s Dozen: In thirteenth-century Britain, the Assize of Bread and Ale regulated the relationship between wheat prices and loaf sizes. Bakers who inadvertently shortchanged customers faced severe penalties. To protect themselves, they began counting 13 as a dozen – the famous “baker’s dozen.”
  • Coming of Age: Children become teenagers at 13 – a transformation we all understand.
  • Apollo 13: The only unsuccessful moon mission, yet its astronauts returned safely despite an oxygen tank explosion that left their survival hanging in the balance for days.
  • The Last Supper: Many Christians associate 13 with bad luck because 13 people were present at the Last Supper.

The Fear of Thirteen

Triskaidekaphobia—from the Greek tris (three), kai (and), and deka (ten)—is the fear of the number 13. Paraskevidekatriaphobia specifically denotes fear of Friday the 13th, combining paraskevi (Friday) and dekatria (thirteen) with the suffix -phobia for fear.

Researchers estimate that at least 10 percent of the US population harbours some fear of the number 13, particularly when it falls on a Friday.

Why 13 Gets a Bad Rap

Mathematicians offer a more rational perspective: 13 is not inherently unlucky. It suffers from following the perfect number 12. Twelve offers a dozen, twelve months in a year, two twelve-hour cycles in a day. The perfection of 12 casts an undeserved shadow on its successor.

Yet Triskaidekaphobia’s influence in America is so pronounced that over 80 percent of high-rise buildings lack a 13th floor. Hotels, hospitals, and airports routinely avoid using the number for rooms and gates.

A Final Reflection

The number 13 may be considered lucky or unlucky depending on cultural context, but one cannot blame the number itself. It simply follows 12 and precedes 14, fulfilling its mathematical destiny without malice or favour.

Postscript

Vet Plate

I no longer possess the BBZW 139 licence plate. The Government of Ontario, Canada, in recognition of my service with the Indian Army, has honoured me with a new Veteran Plate. My gratitude to Canada for extending this recognition to a veteran from another country knows no bounds.

But I will always remember the game that taught my son division – and the prime number that came to define me.

19 thoughts on “Arithmetic of Licence Plates

  1. Varghese's avatar

    Never thought one can do so much research on numerology. I heard a lot about 13 as a number most of the people fear, a room or floor number to stay, a car number for registration, a date to travel, a jersey number for players etc. The detailed imput by Col Reji is an interesting read.

    Liked by 1 person

  2. Mubi's avatar

    കൊള്ളാം റെജിച്ചായാ…. വെള്ളിയാഴ്ച്ചയും പതിമൂന്നാം തിയതിയും ഒന്നിച്ച് വന്നാല്‍ ഒറ്റ ഒരാളും പരീക്ഷയെഴുതാന്‍ സെന്ററില്‍ ഉണ്ടാവില്ല… ആദ്യം എനിക്ക് മനസ്സിലായിരുന്നില്ല, പിന്നെ മാനേജര്‍ ആണ് പറഞ്ഞ് തന്നത്.. രണ്ടും ശരിയല്ല എന്ന്. പല ഹൈ റൈസ് ബില്‍ഡിംഗുകളിലും ലിഫ്റ്റില്‍ “13” ഉണ്ടാകാറില്ല… നിക്കിയെ കണക്ക് പഠിപ്പിച്ച രീതി ഇഷ്ടായി… ലേഖനവും 🙂 (Reji = It is a good article. On any Friday the thirteenth, there would hardly be any candidates at our examination centre and I never realised it until our manager explained it to me. The lifts of many high rise buildings here do not have ‘thirteen’. I really liked your methodology of teaching Nikhil and also the article).

    Liked by 1 person

  3. TD JOSEPH's avatar

    An interesting one Reji… What I loved the most was your style of teaching your son and the bond u share .. besides of course the coincidence of 13 in your life … lucky for you..Cheers TD JOSEPH 

    Liked by 1 person

  4. R S Pathania's avatar

    A great article as all your articles are. 😊 👍🏼 Wish I had that kind of patience and wisdom to teach my kids. Unfortunately I didn’t. 😔. I hope to make up with my grand children. 😊

    Liked by 1 person

  5. Kaypius's avatar

    A superb write-up. Sharing.
    Thoughts and prayers from India where the number 13 has acquired a new infamy: possible body bag count from two IAF An32 accidents in the hills of Arunachal Pradesh, separated by 10 years (Jun 2009, Jun 2019 -as of now missing).
    Hope numerology works where poor equipment failed.
    Rest in peace, Air Warriors.

    Liked by 1 person

  6. Jinder's avatar

    Very well writen Reji. Very interested reading and gained knowledge of # 13. Infact Reji, if may I add something to it is that # 13 is considered lucky in Sikh religion also. Once Guru Nanak ji was an accountant in a small town Sultan, where he was distributing groceries to the local people. But when he reached to the thirteenth person to give grocery, he stopped as something struck him. He realised that thirteen is called “Terah” in punjabi. Well as in Hindi and Punjabi language it means “yours” Thus “Terah states” “Sab Terah Waheguru”, means whatever we have is terah (yours God). Interestingly, the holy word Waheguru appears thirteen times in the sacred book of Sikhism “Guru Granth Sahib”.
    Also the harvest festival in punjab region that marks the punjabi new year “Baisakhi” is mostly celebrated on the thirteenth day in the month of April.
    So in my dictionary, I consider # 13 to be a lucky # also.
    Love your readings Reji, it opens up my brain at least. Thanks sharing.

    Liked by 1 person

  7. arunkk1009's avatar

    Very well researched, wonderfully narrated and provides many insights. The Greek word for Friday Phobia when pronounced sounds like a Malayalam word.

    It may be worth researching the connect between the Malabar Coast and Ancient Greece….for your next blog

    Hats off to the Canadian Authorities for honouring a Veteran who served his Parent Country

    Liked by 1 person

  8. Ashok Prabhu's avatar

    Good writeup sir. Interesting to know about your way of teaching your son, ‘Triskaidekaphobia‘ and Baker’s Dozen. You have said “most licence plates on vehicles has four alphabets followed by three digits.” Curious to know how your licence plate does not have the three digits?

    Liked by 1 person

  9. Fr.Joseph Kurian's avatar

    Turning license plates into a math game is so cool! Making division and prime numbers fun? Genius move, seriously. Loved the bit about your own license plate and the number 13 – totally had me hooked. And big congrats on the Veteran Plate from Ontario – that’s awesome!🥰

    Liked by 1 person

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