1.1.5 Utilizing factors, multiples, and primes

• What do factors and multiples help us understand in mathematics?

  How numbers relate
• What are the only two factors of a prime number?

  1 and itself
• What are the factors of 24?

  1, 2, 3, 4, 6, 8, 12, 24
• Steps to find multiples of a number

  1️⃣ Multiply the number by 1

  2️⃣ Multiply the number by 2

  3️⃣ Multiply the number by 3

  4️⃣ Continue multiplying as needed
• Steps to find factors of a number

  1️⃣ Start with 1 and the number itself

  2️⃣ Check if 2 divides evenly

  3️⃣ Continue checking with consecutive numbers

  4️⃣ Include all pairs of factors
• What is the first multiple of 7?


  7
• What is the greatest common factor (GCF) of 18 and 24?

  6
• How are multiples of a number obtained?

  Multiplying by any integer
• Steps to simplify the fraction 18/24 using factors

  1️⃣ Identify the factors of 18

  2️⃣ Identify the factors of 24

  3️⃣ Find the greatest common factor (GCF) of 18 and 24

  4️⃣ Divide both the numerator and the denominator by the GCF

  5️⃣ The simplified fraction is 3/4
• Match the step in simplifying fractions with its description:

  Identify factors ↔️ Find all factors of the numerator and denominator

  Find GCF ↔️ Determine the greatest common factor

  Divide ↔️ Divide both numerator and denominator by GCF

  Simplify ↔️ Write the simplified fraction
• What are multiples of a number defined as?

  The product of multiplication
• What number multiplied by 12 equals 24?

  2
• What are factors of a number?

  Numbers that divide evenly
• Up to what number should you continue checking for factors?

  The square root