A production supervisor is checking if a batch of ${}5{,}625$ units can be divided into equal groups of 6 for packaging. According to the divisibility tests, why is ${}5{,}625$ not divisible by 6?

An inventory analyst needs to evenly divide a total of ${}5{,}625$ units among ${}3$ separate warehouses. According to the divisibility test for ${}3$, the number ${}5{,}625$ is evenly divisible by ${}3$ because the sum of its digits is ${}18$, which is a multiple of ${}3$.

A distribution coordinator is auditing a shipment of ${}5{,}625$ units to see how they can be grouped into smaller, equal batches. Based on the divisibility tests applied to ${}5{,}625$, match each divisor with the correct observation.

Auditing Shipment Quantities

A logistics coordinator is auditing a stock of ${}5{,}625$ items. To determine if the items can be packed into sets of 10 without any leftovers, the coordinator checks the last digit of the total quantity. According to the divisibility test for 10, a number is divisible by 10 only if its last digit is ____.