1.1.4 Recognizing and using factors, multiples, and primes

• Why is understanding factors and multiples important?

  Simplifying math problems
• The multiples of 3 include 3, 6, 9, and 12.


  True
• Multiples of a number are obtained by multiplying it by 1, 2, 3, and so on.

  True
• What is the third multiple of 7?

  21
• What are factors of a number?

  Numbers that divide evenly
• What are prime and composite numbers?

  Special types of numbers
• What are the only two factors of a prime number?

  1 and itself
• What do you get when you multiply a number by 1, 2, 3, and so on?

  Multiples
• All prime numbers are odd.

  False
• What are the factors of 20?

  1, 2, 4, 5, 20
• Match the prime number with its factors:

  2 ↔️ 1, 2

  3 ↔️ 1, 3

  5 ↔️ 1, 5

  7 ↔️ 1, 7
• The factors of 12 are 1, 2, 3, 4, 6, and 12.

  True
• Steps to find factors of a number

  1️⃣ Start with 1

  2️⃣ Check if the number is divisible by 1

  3️⃣ Repeat for each number until you reach the given number

  4️⃣ Collect all numbers that divide evenly
• Match the concept with its definition:

  Factors ↔️ Numbers that divide evenly

  Multiples ↔️ Products of a number with integers
• The number 7 is a prime number because it can only be divided evenly by 1 and 7.

  True
• A common mistake is missing pairs of factors that multiply to the given number

  True
• Steps to list multiples of a number

  1️⃣ Start with the number itself

  2️⃣ Multiply the number by 2, 3, 4, and so on

  3️⃣ Write down the products
• Match the concept with its real-life example:

  Factors ↔️ Dividing 12 apples among 3 friends

  Multiples ↔️ Cost of 5 pens if each pen costs $2

  Prime Numbers ↔️ Creating unique PINs or passwords
• How does knowing whether a number is prime or composite help in simplifying fractions?

  Better understanding of division
• What is a common mistake when finding prime factorization?

  Not dividing until 1
• Steps to find the prime factorization of a number

  1️⃣ Start with the number

  2️⃣ Divide by the smallest prime number

  3️⃣ Keep dividing until you get 1

  4️⃣ List all the prime numbers divided by
• Match the concept with its definition:

  Prime Factorization ↔️ Breaking a number into prime factors

  Prime Number ↔️ Only two factors: 1 and itself
• The cost of 5 pens, each costing $2, is $10.

  True
• The prime factorization of 60 is 2 × 2 × 3 × 5

  True
• How many apples does each friend get when distributing 12 apples equally among 3 friends?

  4