Should the prostration of recitation be repeated if the verse of prostration is repeated for the purpose of memorisation?
Question

                During memorisation of the quran we have to recite the aayaath many times to perfect them. What should we do if there is sajdah of tilaawah in those aayaath. Do we perform sujood as many times we recite the verses or can we just do one sajdah at the end of memorisation?.
Praise be to Allah.
    The scholars (may Allah have mercy on them) differed 
    concerning this issue. The correct view is that it is sufficient to do one 
    prostration, so as to avoid hardship and difficulty. So one should prostrate 
    when reciting the verse of prostration for the first time, then not repeat 
    the prostration again. 

    This is the view of the Hanafis, and some of the Shaafa‘is 
    and Hanbalis. It is also the view favoured by Shaykh Ibn ‘Uthaymeen (may 
    Allah have mercy on him). 

    Ibn ‘Aabideen (may Allah have mercy on him) said:

    if he repeats it in two sitting, he should repeat the 
    prostration, but if he repeats (the verse) in one sitting he does not have 
    to repeat the prostration; rather once is sufficient, and doing it after the 
    first recitation is preferable. This is so as to avoid hardship so long as 
    the same verse is repeated in the same sitting.

    End quote from Radd al-Muhtaar ‘ala ad-Durr al-Mukhtaar, 
    2/114. See also al-Insaaf, 2/196 

    Shaykh Ibn ‘Uthaymeen (may Allah have mercy on him) was 
    asked: Is it obligatory for the one who is reading Qur’aan to prostrate when 
    he comes to a verse in which there is a sajdah (prostration)? If he is 
    repeating the verse for the purpose of memorisation, does he have to 
    prostrate every time? 

    He replied: He does not have to prostrate, whether he reads 
    the verse in which there is a prostration once or he repeats it. The 
    prostration of recitation is Sunnah and not obligatory. The evidence for 
    that is the fact that ‘Umar ibn al-Khattaab (may Allah be pleased with him) 
    recited in a Friday khutbah a verse in which there is a prostration, namely 
    the verse in Soorat an-Nahl, and he came down (from the minbar) and 
    prostrated, then he recited the same verse on another Friday, and he did not 
    prostrate. Then he said: Allah has not made the prostration obligatory upon 
    us unless we want to do it. So the prostration of recitation is Sunnah and 
    is not obligatory. 

    If the verses are repeated, such as when one repeats the 
    verses for the purpose of memorising Qur’aan, doing the prostration the 
    first time will suffice for the rest and there is no need to repeat the 
    prostration. But if he is reading Soorat al-Hajj, for example, (in which 
    there are two sajdahs) and he does the first prostration then he comes to 
    the second prostration, he may prostrate again even if the interval was not 
    long.

    End quote from Majmoo‘ al-Fataawa, 14/318 

    And Allah knows best.