Math, asked by vaseemproplayer, 9 months ago

least number to be divided by 343 makes a perfect Square​

Answers

Answered by spacelover123
2

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.

\huge{ \begin{array}{c|c}7&343 \\  \cline{1 - 2} 7&49 \cline{2 - 3}7&7\cline{3 - 4}&1\end{array}}

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.

Answered by Zafir
0

Answer:

7

Step-by-step explanation:

343×7 is a perfect square

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