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प्रश्न
By what numbers should each of the following be divided to get a perfect square? Also, find the number whose square is the new number.
3698
उत्तर
3698 = 2 x 43 x 43
Grouping them into pairs of equal factors:
3698 = 2 x (43 x 43)
The factor, 2 is not paired. For a number to be a perfect square, each prime factor has to be paired. Hence, 3698 must be divided by 2 for it to be a perfect square.
The new number would be (43 x 43).
Hence, the number whose square is the new number is 43.
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