Understanding Prime Numbers and Factorization

The video tutorial introduces prime numbers, explaining their definition and properties. It provides examples and non-examples, highlighting the unique characteristics of prime numbers. The tutorial discusses the smallest prime number and explains methods for prime factorization, using examples to illustrate the process.

What is a prime number?

• A number divisible by all numbers

• A number divisible by 2 and 3

• A number divisible by 1, 2, and 3

• A number divisible by 1 and itself

Which of the following is a prime number?

• 4

• 6

• 9

• 7

Why is 21 not a prime number?

• It is divisible by 3 and 7

• It is divisible by 5 and 15

• It is divisible by 1 and 21

• It is divisible by 2 and 10

Which of the following is the smallest prime number?

• 5

• 2

• 3

• 1

Why is 1 not considered a prime number?

• It is divisible by 2

• It is an odd number

• It is an even number

• It has only one divisor

Which of the following is the only even prime number?

• 8

• 6

• 4

• 2

What is the prime factorization of 42?

• 2 x 3 x 7

• 2 x 2 x 7

• 2 x 3 x 6

• 3 x 3 x 7

How many prime factors does 42 have?

• 2

• 5

• 3

• 4

Which of the following numbers is not a prime factor of 42?

• 7

• 5

• 3

• 2

What is the purpose of the prime factorization method?

• To find the sum of numbers

• To find the prime factors of a number

• To find the product of numbers

• To find the difference between numbers