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What is the smallest number by …

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What is the smallest number by which 1715 should be divided so that the quotient is a perfect cube

Posted by Akash Singh Aryan 5 years, 6 months ago

CBSE > Class 08 > Mathematics

2 answers

Kashvi Jaiswal 5 years, 6 months ago

1715 = 5×7×7×7 THESE ARE PRIME FACTORS SO THE SMALLEST NUMBER IS 5 SO WE DIVIDE BY 5 AND ANSWER IS 1715/5=343 I HOPE YOU UNDERSTAND..

Yogita Ingle 5 years, 6 months ago

Prime factors of 1715 are - 5×7×7×7

So it should be divided by 5 so that the quotient is a perfect cube.

1715/5=343

343 is the required number.

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