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What is the perfect square of 4 using the power 2?

Updated: 8/17/2019
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Q: What is the perfect square of 4 using the power 2?
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It is: 2744/14 = 19614.First, factorise the number using power format:2744 = 2^3 x 7^3To be a perfect square, each prime must have an even power, so to find out the smallest divisor to use, rewrite each prime with an odd power as itself times the prime to the power of one less:2744 = (2 x 2^2) x (7 x 7^2)Now collect the primes with a power of 1 together:2744 = (2 x 7) x (2^2 x 7^2)This represents the least divisor: 2 x 7 = 14since 2^2 x 7^2 = (2 x 7)^2 which is a perfect square:2744 ÷ 14 = 196 = 14^2


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