You have 43 pencils. besides 1 group of 43 pencils, is it possible to divide the pencils into groups with the same number of pencils with no pencils left over?

No it is not.

Step-by-step explanation:

43 is a prime number.  this means it is only divisible by 1 and 43; there are no other factors.

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis: