Question

All (.......................) numbers can be split into factor pairs.

a) Prime
b) Composite
c) Rational
d) Irrational

Answer 1

Composite numbers can be split into factor pairs because they have divisors other than 1 and themselves, unlike prime numbers, which only have two divisors.

Step-by-step explanation:

All composite numbers can be split into factor pairs. A composite number is a positive integer that has at least one divisor other than 1 and itself. This means that a composite number can be divided evenly by numbers other than 1 and itself, which directly leads to the existence of factor pairs. For example, the number 12 is composite because it has factor pairs (1,12), (2,6), and (3,4). In contrast, prime numbers cannot be split into factor pairs because they only have two distinct positive divisors: 1 and the number itself. Therefore, the correct option is b) Composite.