Use Legendres Formula for Highest Power of 5 Dividing 100!
Автор: sumchief
Загружено: 2022-12-03
Просмотров: 1161
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Legendre's Formula
In this video we find the Find the highest power of 5 dividing 100!
The product formula for the factorial implies that n! is divisible by all prime numbers that are at most n, and by no larger prime numbers. More precise information about its divisibility is given by Legendre's formula, which gives the exponent of each prime p in the prime factorization of n!
• Find the Highest Powers of 3 dividing 222 ...
100! has 158 digits and 24 trailing zeros
5^24 has 17 digits and no trailing zeros
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