Question

Find in which divided 15786 the result is a perfect square

Answer 1

Correct question:

Find a number which should divide 15786 so the result is a perfect square.

Solution:

Let us first prime factorize the number 15786 to get its factors.

$\Large \begin{array}{c|c} \underline{\sf {2}}&\underline{\sf {\; \; 15786 \; \; \: }} \\ \underline{\sf {3}}&\underline{\sf {\; \; 7893 \; \; \: }}\\ \underline{\sf {3}}&\underline{\sf {\; \; 2631 \; \; \: }}\\ \underline{\sf {877}}&\underline{\sf {\; \; 877 \; \; \: }}\\ & {\sf \; 1 \; \; }\end{array}$

15786 = 2 x 3 x 3 x 877

Factors 2 and 877 do not occur in pair. The number which should divide 15786 is 2 x 877 = 1754.

15786 ÷ 1754 = 3 x 3

9 = 3²

Therefore, 1754 is a number which should divide 15786 so the result is a perfect square. The perfect square obtained is 9 and its square root is 3.

Know more:

✰ A number that can be displayed as the product of two same integers is called a square number. 1, 4, 9, 16, 25 and so on are square numbers.

✰ A non square number cannot be displayed as a product of two same integers. 2, 3, 5, 6, 7 are some non square numbers.

✰ Square root is a number that, when multiplied with itself, results into the given number. The symbol √ denotes square root.