# Python | sympy.multiplicity() method

• Last Updated : 05 Sep, 2019

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)

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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 sympy``from` `sympy ``import` `multiplicity`` ` `p ``=` `2``n ``=` `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 sympy``from` `sympy ``import` `multiplicity`` ` `p ``=` `3``n ``=` `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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