Divisibility by Coprime Numbers
One of the fundamental properties of coprime numbers is that their product is also divisible by their individual factors. Let's break down this concept further:

Definition of Coprime Numbers
Coprime numbers are two numbers that have no common factors other than 1. In other words, their greatest common divisor (GCD) is 1. For example, 6 and 25 are coprime numbers because the only positive integer that divides both of them is 1.

Divisibility Property
When a number is divisible by two coprime numbers, it means that it is a multiple of both of those numbers. Therefore, it is also a multiple of their product.

Proof
Let's say a number n is divisible by two coprime numbers a and b. This means that n = a * x and n = b * y, where x and y are integers.
Since a and b are coprime, their product ab is also a factor of n. We can express n as n = ab * z, where z is an integer.
Therefore, if a number is divisible by two coprime numbers, it will also be divisible by their product.

Conclusion
In conclusion, when a number is divisible by two coprime numbers, it is guaranteed to be divisible by their product as well. This property is based on the fundamental concept of coprime numbers and their relationship with divisibility.