Exploring Adding and Subtracting Rational Expressions

The video tutorial covers the concepts of factors, prime numbers, composite numbers, and prime factorization. It begins by explaining what factors are and how to find them using examples. The tutorial then applies the concept of factors to solve a real-life problem involving grouping students. It proceeds to define prime and composite numbers, providing examples of each. Finally, the video explains prime factorization, demonstrating how to express numbers as products of prime numbers.

What is a factor?

• A number that is multiplied by another number to get a product.

• A number that is added to another number.

• A number that is subtracted from another number.

• A number that is divided by another number.

Which of the following is a factor of 20?

• 3

• 4

• 9

• 7

How many factors does the number 64 have?

• 6

• 5

• 7

• 4

If a dance class has 42 students, which of the following is a possible way to split the class into equal groups?

• 6 groups of 7

• 4 groups of 11

• 3 groups of 15

• 5 groups of 8

What is a prime number?

• A number that is divisible by 2.

• A number with only one factor.

• A number with exactly two factors: 1 and itself.

• A number with more than two factors.

Which of the following numbers is composite?

• 2

• 9

• 3

• 5

What is the prime factorization of 75?

• 5 x 15

• 3 x 25

• 3 x 5^2

• 5 x 5 x 3

Which of the following is the prime factorization of 48?

• 2^4 x 3

• 2 x 3^3

• 2^3 x 3

• 2^2 x 3^2

What is the prime factorization of 245?

• 5 x 7^2

• 7 x 35

• 2 x 5 x 7

• 5 x 49

What is the composite number represented by the prime factorization 2^2 x 11^2 x 13?

• 484

• 529

• 121

• 6292