Final answer:
True. Every number has a limited amount of factors, as factors are numbers that divide exactly into the number. However, a number has an unlimited number of multiples, as they can be found by multiplying the number by any other whole number to infinity.
Step-by-step explanation:
The statement is true: every number has a limited amount of factors but an unlimited amount of multiples. Factors of a number are the numbers that divide exactly into that number without leaving a remainder. For example, the number 6 has four factors: 1, 2, 3, and 6. There cannot be more factors than the number itself, which limits the quantity of factors any given number can have.
On the other hand, multiples are the numbers that result when you multiply the original number by any other whole number. This can go on infinitely because you can always find another whole number to multiply by, thus creating more multiples. For instance, some multiples of 6 are 12 (6x2), 18 (6x3), 24 (6x4), etc., and this series of multiples can continue indefinitely.