###### tags: `MATA02-2022`
# MATA02-2022: Graded Assignment 2
**DUE: Friday, February 11, 11:59pm**

## 1.
Suppose that you have a bucket that holds 57 cups, and one that holds 21 cups. How could you use them to measure out 6 cups of water? Give at least three different ways to perform that measurment, by using the linear combination techniques we discussed in Ungraded Problems 4. Show your work.

## 2.
Factor 1137045 and 689724 into primes. Use these factorizations to compute their greatest common divisor and their least common multiple. You may use the Euclidean algorithm to check your work, but you must solve the problem using factorization. Show your work.

## 3.
How many positive integers are divisors of 1137045? Show your work.

## 4.
How many positive integers divide both 1137045 and 689724? Show your work.