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Q.

Let p be a prime number and n be a positive integer, then exponent of p in n! is denoted by Ep(n!) and is given by Ep(n!)=np+np2+np3++npk where pk<n<pk+1 and [x] denotes the integral part of x. If we isolate the power of each prime contained in any number N, then N can be written as N=2α13α25α37α4…. where αi are whole numbers.

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