Simplifying Fractions: Key Concepts and Examples

What are factors?

• Numbers that are always prime

• Numbers that are always even

• Numbers that can be divided by another number

• Numbers that can be multiplied to get another number

Which of the following is a factor of 14?

• 3

• 7

• 5

• 9

Why can't 3 be a factor of 14?

• Because 3 times 5 is 15

• Because 3 times 4 is 12

• Because 3 times 6 is 18

• Because 3 times 3 is 9

What are the factors of a prime number?

• 1 and 3

• 1 and 2

• 1 and the number itself

• 1 and 4

Which of the following is a prime number?

• 4

• 9

• 6

• 3

What is the first step in finding factors of 32?

• Check if 3 goes into 32

• Check if 1 times 32 equals 32

• Check if 4 times 8 equals 32

• Check if 2 times 16 equals 32

Which of the following is NOT a factor of 32?

• 4

• 16

• 8

• 12

Why don't we need to check factors beyond halfway of a number?

• Because factors repeat after halfway

• Because factors are always even

• Because factors are always less than half

• Because factors are always prime

What mathematical operations are essential for finding factors?

• Logarithms and trigonometry

• Addition and subtraction

• Multiplication and division

• Exponentiation and roots

What is the importance of knowing factors in simplifying fractions?

• To find the greatest common divisor

• To find the least common multiple

• To convert fractions to decimals

• To add fractions