least number to be divided by 343 makes a perfect Square
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To find the least number to be divided by 343 to make a perfect square we need to do prime factorisation to find the product of its primes.
343 ⇒ 7 × 7 × 7
So now one of the 7, does not have a pair. So we need to divide 7 by 343 which will give 49.
49 is a perfect square because 7 × 7 = 7² = 49
∴ The least number to be divided by 343 to make it a perfect square is 7.
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Answer:
7
Step-by-step explanation:
343×7 is a perfect square
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