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Finding Square Root through Repeated Subtraction

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find the total number of divisor of the number 90000 which are perfect square

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Q. Find the number of divisors of the number

N = 2^{3} \cdot 3^{5} \cdot 5^{7} \cdot 7^{9}

which are perfect squares.

Q. Which one of the following numbers is not a perfect square from

4900, 90000, 810000, 81000

?

Q. The number of positive divisors of

2^{3} 3^{5} 5^{7} 7^{9}

which are not perfect squares

Q. If n = 10800,
(a) Find total number of divisor of n.
(b) The number of even divisor.
(c) Find the number of divisor of the form 4m + 2.
(d) Find the number of divisor which are multiple of 15.

Q. Using the property of square numbers, find which number is a perfect square?

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Finding Square Root through Repeated Subtraction

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