Factoring and Prime Numbers Challenge

The video tutorial introduces the concept of factoring, explaining how numbers can be broken down into smaller factors. It defines prime and composite numbers, providing examples and a list of initial prime numbers. The tutorial demonstrates the tree method for factoring, using examples like 36 and 1000, to show how numbers can be decomposed into their prime components. The importance of prime numbers in the factoring process is highlighted throughout.

What is the process of breaking a number into smaller numbers whose product equals the original number called?

• Subtraction

• Addition

• Factoring

• Multiplication

Which of the following is NOT a factor of 12?

• 5

• 4

• 3

• 6

What do we call whole numbers larger than one that have exactly two factors?

• Odd numbers

• Composite numbers

• Even numbers

• Prime numbers

Which of the following is a composite number?

• 3

• 2

• 5

• 6

Which number is the first prime number?

• 4

• 3

• 2

• 1

Which of the following numbers is NOT a prime number?

• 9

• 11

• 7

• 13

What method is used to factor numbers by breaking them down into branches?

• Division method

• Tree method

• Multiplication method

• Subtraction method

In the tree method, what are the prime factors of 36?

• 2, 2, 3, 3

• 3, 3, 6

• 2, 3, 6

• 1, 2, 3, 6

What is the prime factorization of 1000?

• 2 x 2 x 5 x 5 x 5

• 2 x 5 x 10 x 10

• 2 x 2 x 2 x 5 x 5

• 2 x 5 x 5 x 5

Which of the following pairs are factors of 1000?

• 2 and 500

• 10 and 100

• 5 and 200

• 4 and 250