Final answer:
If a divides bc, then a divides b or c.
Step-by-step explanation:
True. If a divides bc, then a is a factor of bc. This means that a can be written as a product of b and c, or a = b * c. If a = b * c, then a must be a factor of either b or c, because any number that is a factor of a product must also be a factor of one of the multiplicands.
For example, let's say a = 3, b = 6, and c = 9. If a divides bc, then 3 divides 6 * 9. 6 * 9 = 54, so 3 must be a factor of either 6 or 9. In this case, 3 is a factor of 9. Therefore, the statement is true.