7±2Digit Span Test

No. 04

Why Phone and Card Numbers Are Split into Groups

010-1234-5678, 1234 5678 9012 3456. The habit of splitting long numbers into groups of three or four is closely tied to the limits of working memory. Here is why, along with the actual numbering standards.

Long numbers are almost always written in groups. South Korean mobile numbers split their 11 digits 3-4-4, and payment cards print 16 digits as 4-4-4-4. Sometimes a standard came first, but the main reason is that this format is easier for people to read and copy.

From 11 digits to 3 units

Holding 11 separate digits exceeds most people's digit span. But seen as the familiar prefix 010 plus two groups of four, there are only three units to remember. That fits within the range of "about 4 chunks at once" proposed by Cowan (2001). When part of the number is a chunk you already know, like the prefix, the load is even lighter.

NumberTotal lengthCommon groupingUnits to remember
------------
South Korean mobile113-4-4 (010-XXXX-XXXX)3
Payment card (most)164-4-4-44
American Express card154-6-53
International phone number (E.164)Up to 15Country code + national grouping3–5
IBAN (international bank account number)Up to 34 characters (varies by country, includes letters)Groups of 45–9
One-time passcode63-3 or all together1–2

The actual numbering standards

Mistakes that grouping prevents

The most common mistakes when copying numbers are writing one digit wrong and swapping two neighboring digits. With groups, you can check your copy group by group, which makes errors easier to find. A card number's Luhn check digit catches every single-digit error and most swaps of adjacent digits (except 09↔90). Human grouping and machine checking work together to prevent errors.

When reading out or writing down a number

  1. The person reading should say it group by group, pausing briefly between groups.
  2. The person listening should repeat each group back or write it down right away. Don't try to hear all 11 digits before writing.
  3. At the end, read the whole number back from the start, group by group, to check it.

Try 11 or 16 digits in this site's all-at-once presentation and you'll notice your eyes looking for groups on their own.

Sources: ITU-T Recommendation E.164 · ISO/IEC 7812-1 · ISO 13616-1 · Cowan (2001) Behavioral and Brain Sciences 24(1):87–114

Try it with all-at-once presentation →