Find the number of divisors of the number 36000. How do we apply permutation in this??

For finding the number of divisor we first prime factorize the number Let say N=am×bn×crSo the number of divisors of N are=m+1×n+1×r+1Now here , 36000=25×32×53So number of divisors will be, =5+1×2+1×3+1=6×3×4=72

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