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    What is the unit digit of the product of all the prime numbers between 51 and 78?
    Question

    What is the unit digit of the product of all the prime numbers between 51 and 78?

    A.

    2

    B.

    3

    C.

    7

    D.

    6

    Correct option is C

    Given:

    Prime numbers between 51 and 78

    Formula Used:

    The unit digit of a product of expression is the unit place of the product of the unit digits of the numbers

    Solution:

    Prime numbers between 51and 78 are 53,59,61,67,71,73

    The unit place of product of53×59×61×67×71×73 53 \times 59 \times 61 \times 67 \times 71 \times 73​​

    Here we take the product of the unit digits =3×9×1×7×1×3=567 3 \times 9 \times 1 \times 7 \times 1 \times 3 = 567​​

    Hence 7 will come the unit place of the product

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