Prime Factorization and GCF Problems

The video tutorial explains how to simplify fractions using the prime factorization method. It covers the process of identifying common factors in the numerator and denominator and provides multiple examples, including 12/30, 36/48, 24/108, and 75/105. The tutorial emphasizes the importance of understanding multiplication tables and the prime factorization technique, especially as numbers become larger.

What is the greatest common factor of 12 and 30?

• 2

• 3

• 6

• 12

Which of the following is the prime factorization of 36?

• 2 * 3 * 3

• 2 * 2 * 3 * 3

• 3 * 3 * 3

• 2 * 2 * 3

What is the simplified form of the fraction 36/48?

• 1/2

• 3/4

• 5/6

• 2/3

What is the prime factorization of 24?

• 2 * 2 * 3

• 2 * 3 * 4

• 2 * 2 * 2 * 3

• 3 * 3 * 2

Which of the following is the greatest common factor of 24 and 108?

• 12

• 6

• 24

• 18

What is the simplified form of the fraction 24/108?

• 2/9

• 1/4

• 3/8

• 5/12

What is the prime factorization of 75?

• 5 * 5 * 5

• 3 * 5 * 5

• 2 * 5 * 5

• 3 * 3 * 5

What is the greatest common factor of 75 and 105?

• 35

• 5

• 15

• 25

What is the simplified form of the fraction 75/105?

• 3/5

• 5/7

• 3/4

• 1/2

Which method is recommended for simplifying fractions with large numbers?

• Guess and check

• Trial division

• Prime factorization

• Cross multiplication