من شماره کارت را نوشتم تا بعدا با کارت پرداخت کنم.

Yes. In Persian, the verb ending in نوشتم already tells you the subject is I. So من is optional here.

• نوشتم = I wrote
• من نوشتم = I wrote

Including من can add a little emphasis, contrast, or clarity, but the sentence would still be perfectly natural without it:

شماره کارت را نوشتم تا بعدا با کارت پرداخت کنم.

را is the direct object marker. It usually marks a specific direct object.

So:

• شماره کارت را نوشتم = I wrote the card number / I wrote down the card number
• Without را, the phrase could sound less specific or less complete in this context.

A useful way to think about it is that را often appears when English would have something like the, this, that, or another clearly identifiable object.

This is an ezafe construction: number of the card / card number.

In pronunciation, there is a connector sound, even if it is often not written in normal spelling:

• written: شماره کارت
• pronounced roughly: shomâre-ye kârt

So the structure is:

• شماره = number
• کارت = card
• شماره کارت = card number

This is very common in Persian. The ezafe is often invisible in writing, especially in everyday text.

Written Persian often leaves this ambiguous because short vowels are not written.

کارت can potentially be read as:

• kârt = card
• kâret = your card

In this sentence, context decides the meaning.

In شماره کارت را, it is most naturally understood as card number.
In با کارت پرداخت کنم, it usually means pay with the card / by card, unless the wider context clearly means with your card.

So this is one of those cases where Persian spelling is less explicit than English, and you rely on context.

Persian has no definite article equivalent to English the.

So Persian often relies on:

• context
• word order
• را
• demonstratives like این and آن

Here, شماره کارت را is understood as a specific card number partly because of را and partly because of context.

So English the card number does not need a separate word like the in Persian.

نوشتم is the simple past of نوشتن (to write).

In context, it can naturally mean:

• I wrote
• I wrote down

English often says write down when noting information, but Persian commonly just uses نوشتن for that idea.

So شماره کارت را نوشتم very naturally means I wrote down the card number.

تا can mean different things depending on context.

Two common meanings are:

• until
• so that / in order to

In this sentence, it means so that / in order to because it introduces a purpose clause:

• نوشتم تا بعدا... = I wrote it down so that later...

So here تا does not mean until. It shows the purpose of writing the number.

After تا meaning so that / in order to, Persian normally uses the subjunctive.

That is why you get:

• پرداخت کنم = that I may pay / so that I can pay

not

• پرداخت می‌کنم = I pay / I am paying / I will pay in a more ordinary indicative sense

So the pattern is:

• تا + subjunctive

Examples:

• آمدم تا ببینمت. = I came so that I could see you.
• نوشتم تا یادم بماند. = I wrote it down so that I would remember.

The basic verb is the compound verb پرداخت کردن = to pay.

Many Persian verbs are made of:

• a non-verbal element
• plus a light verb such as کردن, شدن, دادن, etc.

Here:

• پرداخت = payment / paying element
• کردن = to do

In the subjunctive first-person singular, کردن becomes کنم:

• پرداخت کنم = I pay / I may pay in subjunctive context

So although it looks like two words, it functions as one verb meaning to pay.

Yes. با means with, and here it marks the means or method used for payment.

So:

• با کارت پرداخت کردن = to pay with a card / by card

This is very natural Persian. English often says pay by card, while Persian commonly uses با.

Similar patterns:

• با پول نقد پرداخت کردم. = I paid with cash.
• با چک پرداخت کرد. = He/She paid by check.

Persian is generally an SOV language: subject–object–verb. So the verb often comes at or near the end of the clause.

That is why you see:

• من شماره کارت را نوشتم
• ... تا بعدا با کارت پرداخت کنم

The adverb بعدا (later) is fairly flexible. You could move it and still sound natural, for example:

• من شماره کارت را نوشتم تا با کارت بعدا پرداخت کنم.
• من شماره کارت را بعدا نوشتم...

But the original version is the most natural for the intended meaning, because بعدا clearly goes with the later payment, not with the writing.

So the original word order helps make the meaning easy to follow.