Well as I just mentioned the average amount of numbers a person can hold up to in his/her mind at a given time is 7, so you may be able to do more or less than that, however, there are ways you can get far beyond this figure - into memorising huge numbers that are hundreds of digits long, some people can even remember numbers up to thousands of digits long. It's all about technique, and the technique that is needed is mnemonics.
If you are not sure about what mnemonics are then here is a post that you may find useful: Mnemonics.
1. Major Memory System
This is one of the most popular systems that people use to memorise numbers. Each numeral is associated to a consonant, with w, h, y, x, and vowels being ignored serving as 'fillers' to create actual words. Here is the most common layout:
| 0 | s, z, soft c | z is the first letter of zero. The others have a similar sound. |
| 1 | d, t, th | d and t have one downstroke and sound similar (notice the tip of your tongue as you say them). |
| 2 | n | n has two downstrokes. |
| 3 | m | m has three downstrokes, also m looks like a 3 lying on its side. |
| 4 | r | the last letter of four, also 4 and R are almost mirror images of each other. |
| 5 | l | L is the Roman numeral for 50. |
| 6 | j, sh, soft ch, dg, zh, soft g | a script j has a lower loop like 6. These letters also have a ‘whistle-like’ sound, and 6 looks like a whistle. |
| 7 | k, hard c, hard g, q, qu | capital K contains two 7s (on their sides, back to back). |
| 8 | v, f | think of v as in a V8 motor. f sounds similar (notice how your teeth touch your lips for both). |
| 9 | b, p | p is a mirror-image 9. b sounds similar and resembles a 9 rolled around (also notice how your lip movement is the same when pronouncing these letters.) |
| - | vowel sounds, w, h, y, x | These sounds can be used anywhere without changing a word’s number value. |
The number you are trying to memorise would be placed into the table to turn into words. For example: the number 55. As you can see in the table the letter 'l' is associated with the number 5, and as our number is 55, after looking at the table we get 'll' (55). Now that we have this we have to now turn it into a word using vowels, w, h, y, and x. To me the word yeLL comes to mind, so you can imagine a person yelling to remember the number 55.
So you're probably saying this is fine for two digits but what about for longer digits. Okay, so our next example is going to be: 43665645. The trick with this is to split the number into smaller more manageable chunks. So we're going to tackle this like so: 43, 66, 56, 45. For 43 we get 'rm' so I'm going to turn that into 'RuM' - this now becomes the first picture of your mind. I'll now go ahead and sort out the words for the rest of the numbers: for 66 we'll have 'JoG', for 56 we'll have 'LeDGe', and for 45 we'll have 'RuLe'. Now we need to put them together into a sequence - imagine a man drinking some 'RuM' whilst on a 'JoG, who falls off of a 'LeDGe' with judges around him telling him that he broke a 'RuLe'. It may seem like a lot of effort to remember that, but once you have gotten used to what number corresponds to what letter, it will become much more reliable and is something that you can use to remember longer numbers.
The hardest part of this system is getting to grips with the table.
2. Peg Words
If you want to take this even further you can then create a 'peg-word' for each number up to 100. This will take more time to learn and become fluent with than the major memory system table, however this way is more effective and can make it quicker to memorise. There are two ways you can do this, you can either create 'peg-words' for each number using the system in trick #1, or you can assign whatever you want to each number.
I prefer to personally assign each number an image of my choice, things that are in my life or are memorable to me for whatever reason. This includes people, items, characters, all of which are easy for me to picture in my mind.
Once you have assigned a 'peg-word' to each number and have become familiar with each one, then next thing to do is to use them in a memory palace. I won't go into what a memory palace is in this article as I've already written about it, so instead I'll refer you to them: Memory Palace and 5 Steps to Create a Memory Palace.
3. Grouping
This is a technique that a lot of people use for phone numbers and other numbers of similar length, even if they don't realise that they're doing it. Grouping is simply breaking the number up into smaller groups so that you have an easier time to remember it. So for example a number like 347596 on its own is harder to remember in a short amount of time than if we were to split the number up to make it (347) (596). It seems like groups of 3 work well for our minds and grouping is what a lot of people naturally do when trying to ingrain a number into their mind.
This technique though is very limited in that whilst it can enable you to quickly pick up a smaller number like 6 or so digits, it is near enough useless for remembering much larger numbers, unless if you were to be extremely repetitive. No, for larger numbers, mnemonics is much much more effective and even for establishing smaller numbers in your long-term memory.
4. Repetition
Another way that can work is through that of simply repeating the number over-and-over until you have it logged in your long-term memory. Of course all of these techniques will require you to incorporate repetition as to keep them fresh in your mind, however you are able to remember numbers just through repetition and not having to incorporate mnemonics. Mnemonics are a much more powerful tool though and will make things so much quicker and easier to remember.
There are things you can do to make just repeating the number over-and-over again a little more powerful. You could try writing it down several times instead of saying it out loud, also say it in your head. Even though I prefer using mnemonics (and is something I use for larger pieces of information) I have to say that I have been able to memorise people's mobile numbers from my contacts (11 digits in length) by setting those numbers as the password on my phone (which allows up to 16 digit number passwords), so every time I use my phone - I have to type in the number, which is another form of repetition. I will say that it has been so much easier memorising people's phone numbers this way than simply saying them over-and-over again.
Conclusion
Everyone is different and our minds work in individual ways, so for me using the peg-word method and incorporating it into a memory palace is the best for me, however for you it might not be the best way because your mind doesn't work like that. You should try all of these methods and ones I haven't mentioned until you find one that is right for you.
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