How can multiplication and division characterize the composition of numbers?

Students explain properties of prime and composite numbers using multiplication and division.

A factor of a number is a divisor of that number.

A number is a multiple of any of its factors.

A prime number has factors of only itself and one.

A composite number has factors other than one and itself.

Zero and one are neither prime nor composite numbers.

Different factors can compose the same product.

Different products can share factors.

A number divided by one of its factors will result in a remainder of 0.