Find the largest number that can divide that product of any four consecutive natural numbers?48722496
Question
Solution 1
The largest number that can divide the product of any four consecutive natural numbers is 24.
Here's why:
Let's consider four consecutive natural numbers as n, n+1, n+2, n+3.
Among these four numbers, at least one of them is divisible by 2 (since every second number is even).
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