by using prime factorisation check if the following numbers are perfect squares i)1936
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1936 is a perfect square
Given:
A number by using prime factorization check if the following numbers are perfect squares i)1936
To Find:
The given number is a perfect square by the prime factorization method.
Solution:
We are required to check whether the given number is a perfect square or not by using the prime factorization method.
In the prime factorization method if all the numbers are in the power of 2 then the number is a perfect square otherwise not.
On prime factorizing the given number 1936, it gives
1936 = 2×2×2×2×11×11
1936 = 2⁴×11²
The prime factorization of 1936 has all the prime numbers in the power of 2.
Therefore, 1936 is a perfect square
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