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Prove that 8x can not end …

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Prove that 8x can not end with digit O, for any natural no. n.

    • Posted by Binay Sharma 5 years, 3 months ago

    CBSE > Class 10 > Mathematics
    • 2 answers

    Amir Inamdar 5 years, 3 months ago

    Yes 8*n will not end with zero because , the number will end with zero then it's factors should 2and5

    1Thank You

    Yogita Ingle 5 years, 3 months ago

    We know 8n = (23)n = 23n

    If 8n end with zero then 10 is factor of 8n.

     8n = 23n = (5)(2)

     5 is factor of 2, which is a contradiction

    So, our assumption is wrong. Hence 8n cannot end with zero.

    0Thank You

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