hamburger menu
All Coursesall course arrow
adda247
reward-icon
adda247
    arrow
    arrow
    arrow
    The smallest whole number that must be multiplied to 1083 to make it a perfect square, is:
    Question

    The smallest whole number that must be multiplied to 1083 to make it a perfect square, is:

    A.

    4

    B.

    3

    C.

    11

    D.

    2

    Correct option is B

    Given:
    The number = 1083

    To find: the smallest whole number that must be multiplied to 1083 to make it a perfect square.

    Concept Used:
    For a number to be a perfect square, all prime factors must appear in even times.

    Solution:

    Factorize: 1083 = 3×\times​ 19 ×\times​19 

    For 1083 to be a perfect square, we need to multiply by 3, as 3 appears with an odd times.

    So, the smallest number to multiply is 3.

    Free Tests

    Free
    Must Attempt

    CBT-1 Full Mock Test 1

    languageIcon English
    • pdpQsnIcon100 Questions
    • pdpsheetsIcon100 Marks
    • timerIcon90 Mins
    languageIcon English
    Free
    Must Attempt

    RRB NTPC Graduate Level PYP (Held on 5 Jun 2025 S1)

    languageIcon English
    • pdpQsnIcon100 Questions
    • pdpsheetsIcon100 Marks
    • timerIcon90 Mins
    languageIcon English
    Free
    Must Attempt

    RRB NTPC UG Level PYP (Held on 7 Aug 2025 S1)

    languageIcon English
    • pdpQsnIcon100 Questions
    • pdpsheetsIcon100 Marks
    • timerIcon90 Mins
    languageIcon English
    test-prime-package

    Access ‘RRB Group D’ Mock Tests with

    • 60000+ Mocks and Previous Year Papers
    • Unlimited Re-Attempts
    • Personalised Report Card
    • 500% Refund on Final Selection
    • Largest Community
    students-icon
    368k+ students have already unlocked exclusive benefits with Test Prime!
    Our Plans
    Monthsup-arrow