Answer:
The mistake made by Manuel was not reducing 4 as a product of its prime numbers. That is, [tex]2\times 2 = 4[/tex]. 4 is a composite number and a product of 2 prime numbers.
Step-by-step explanation:
The factors of a given entire numbers consists in simplifying it several times until an equivalent product of prime numbers is found. Let is show the procedure for 60:
1) [tex]60[/tex] Given
2) [tex]15 \times 4 = 60[/tex] Definition of multiplication.
3) [tex](5\times 3)\times (2\times 2) = 60[/tex] Definition of multiplication.
4) [tex](2\times 2)\times (3\times 5) = 60[/tex] Commutative property/Result.
The mistake made by Manuel was not reducing 4 as a product of its prime numbers. That is, [tex]2\times 2 = 4[/tex]. 4 is a composite number and a product of 2 prime numbers.
