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6 April, 02:08

How many integers between 360 and 630 are there such that they have odd number of divisors?

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  1. 6 April, 04:21
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    7

    Step-by-step explanation:

    Concept to Know: "A number is a perfect square if and only if it has odd number of positive divisors "

    Find all the squared values that lies between 360 and 630

    360< 19², 20², 21², 22², 23², 24², 25² < 630

    19², 20², 21², 22², 23², 24², and 25² are all the squared values that lies between 360 and 630. There are seven of those squared numbers so the answer is 7.
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