# Using the theorem

What is the smallest number greater than 1 that has a remainder of 1 when divided by 3, 4, and 5?

\(61\)

What is the smallest number greater than 1 that has a remainder of 3 when divided by 5, 7, and 8?

\(283\)

## YouTube video clips

- Discrete Math 4.1.1 Divisibility

Kimberly Brehm