what is the greatest number of times you would regroup when multiplying a 3 digit factor by a 2 digit factor?

To determine the greatest number of times you would need to regroup when multiplying a 3-digit factor by a 2-digit factor, we can consider the largest possible values for each digit.

Let's assume that the 3-digit factor is 999, and the 2-digit factor is 99.

When you multiply these two numbers, you get:

999
x 99
_____
8991
+8991
_____
98901

As you can see, in this case, you need to regroup twice while multiplying a 3-digit factor by a 2-digit factor.

Therefore, the greatest number of times you would need to regroup when multiplying a 3-digit factor by a 2-digit factor is two times.