Python | sympy.multiplicity() method
With the help of sympy.multiplicity() method, we can find the greatest integer m such that p raised to the power of m divides n, where p and n are parameters of the method
Syntax:
multiplicity(p, n)Parameter:
p – It denotes an integer.
n – It denotes an integer.Returns:
Returns the greatest integer m such that p^m divides n.
Example #1:
# import multiplicity() method from sympyfrom sympy import multiplicity p = 2n = 64 # Use multiplicity() method multi_p_n = multiplicity(p, n) print("{} is the largest integer such that {}^{} divides {}.". format(multi_p_n, p, multi_p_n, n)) |
Output:
6 is the largest integer such that 2^6 divides 64.
Example #2:
# import multiplicity() method from sympyfrom sympy import multiplicity p = 3n = 111 # Use multiplicity() method multi_p_n = multiplicity(p, n) print("{} is the largest integer such that {}^{} divides {}.". format(multi_p_n, p, multi_p_n, n)) |
Output:
1 is the largest integer such that 3^1 divides 111.
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