Understanding Factorization and Divisibility

In this video, Professor Maurício introduces the concept of prime factorization, explaining how to decompose a natural number into its prime factors. The video covers the identification of key prime numbers used in factorization, such as 2, 3, 5, and 7. Two examples are provided: the factorization of the numbers 12 and 10, with detailed steps and explanations to ensure understanding. The video concludes with a verification of the factorization process.

What is factorization?

• The process of dividing numbers

• The process of multiplying numbers

• The process of breaking down a number into its prime factors

• The process of adding numbers

Which of the following is NOT a prime number?

• 2

• 5

• 4

• 3

What is the first step in factorizing a number?

• Subtracting 1 from the number

• Dividing the number by the smallest prime number

• Adding the number to itself

• Multiplying the number by 2

How do you know if a number is divisible by 2?

• If it is a prime number

• If it is an odd number

• If it ends in 0, 2, 4, 6, or 8

• If it ends in 1, 3, 5, 7, or 9

What is the result of dividing 12 by 2?

• 5

• 6

• 4

• 7

When do you stop the factorization process?

• When the result is 0

• When the result is an even number

• When the result is 1

• When the result is a prime number

What is the prime factorization of 12?

• 3 x 3 x 3

• 2 x 2 x 2

• 2 x 3 x 3

• 2 x 2 x 3

What is the result of dividing 10 by 2?

• 5

• 3

• 4

• 6

Which prime number is used to divide 5 in the factorization process?

• 3

• 2

• 7

• 5

What is the prime factorization of 10?

• 2 x 3 x 5

• 2 x 5

• 2 x 2 x 5

• 3 x 5