If the number 88200 can be prime factorised as 23 x 32 x 52 x K x 2 , then the value of K is

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Solution

Answer:

Prime factors of 88200 As 2³ $\times$ 3² $\times$ 5² $\times$ K²

First we find prime factors of 88200 As:

88200 = 2 $\times$ 2 $\times$ 2 $\times$ 3 $\times$ 3 $\times$ 5 $\times$ 5 $\times$ 7 $\times$ 7

88200 = 2³ $\times$ 3² $\times$ 5² $\times$ 7²

Now comparing with given prime factors we get

K² = 7²

So,

K = 7 ( Ans )

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