document.write( "Question 1136309: How many square numbers (including 0) are less than 2016 and divisible by 7? \n" ); document.write( "

Algebra.Com's Answer #754068 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "It follows from elementary properties if divisibility integer numbers, that\r\n" );
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document.write( "    an integer (positive) number is a square and is divisible by 7 if and only if \r\n" );
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document.write( "    it is divisible by 49 and the quotient is a square of the integer number, too.\r\n" );
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document.write( "Therefore, we can re-formulate the problem's question in this equivalent form:\r\n" );
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document.write( "    how many are there integer numbers less or equal to    that are the squares ?\r\n" );
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document.write( " = 41.14, and the squares lesser than this number are  1, 4, 9, 16, 25 and 36.\r\n" );
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document.write( "In total, their number is  6.\r\n" );
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document.write( "So, the answer to the problem's question is 6.\r\n" );
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