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Factorise a number or test primality by trial division

This type of question, asked 2 times: CDS 2 2021, CDS 1 2023. All 3 questions below, oldest first.

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  1. Question 1

    CDS 2 2021

    1
    What are distinct prime factors of the number 26381 ?

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  2. Question 2

    CDS 2 2021

    14
    The LCM of two prime numbers pp and qq is 2231, where p>qp>q. What is the value of p−qp-q ?

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  3. Question 3

    CDS 1 2023

    7
    Consider the following numbers : 1. 437 2. 797 3. 1073 How many of the above numbers are prime?

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