Summary of How to find Multiples and Factors

Summary of "How to find Multiples and Factors"

The video explains the concepts of Multiples and Factors, providing clear definitions, examples, and methods to find them.

Main Ideas and Concepts

Multiples:

• Multiples of a number are the results of multiplying that number by whole numbers (Times Tables).
• Example: The first five Multiples of 6 are 6, 12, 18, 24, and 30.
• All Multiples of a number are divisible by that number without any remainder.
• To check if a number is a multiple of another, divide and see if the result is a whole number.
  • Example: 378 ÷ 6 = 63 (whole number, so 378 is a multiple of 6).
  • Example: 412 ÷ 6 = 68.6 (not whole, so 412 is not a multiple of 6).
• Another way to find Multiples is by repeatedly adding the number to itself.
  • Example: Multiples of 14 can be found by adding 14 repeatedly: 14, 28, 42, 56, 70, etc.

Factors:

• Factors are numbers that multiply together to give the original number.
• Factors come in pairs called Factor Pairs.
  • Example: For 28, Factor Pairs are (1, 28), (2, 14), and (4, 7).
• Factors are also numbers that divide the original number evenly (without remainder).
  • Example: 4 is a factor of 28 because 28 ÷ 4 = 7 (whole number).
  • 5 is not a factor of 28 because 28 ÷ 5 = 5.6 (not whole).
• To find all Factors of a number, list all Factor Pairs starting from 1 and going up to the Square Root or until pairs repeat.
  • Example: Factors of 48 are found by checking divisibility from 1 upwards:
    • 1 × 48
    • 2 × 24
    • 3 × 16
    • 4 × 12
    • 5 (not a factor)
    • 6 × 8
    • Stop after reaching 8, since pairs repeat.
    • Factors in ascending order: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.
  • Example: Factors of 50:
    • 1 × 50
    • 2 × 25
    • 3, 4 (not Factors)
    • 5 × 10
    • 6, 7, 8, 9 (not Factors)
    • Stop at 10.
    • Factors: 1, 2, 5, 10, 25, 50.

Summary and Important Notes:

• Multiples are larger numbers you get by multiplying the original number.
• Factors are smaller numbers that divide the original number evenly.
• The original number counts as both a multiple and a factor of itself.
• It’s important to remember the difference between Multiples and Factors to avoid confusion, especially in exams.

Methodology / Instructions to Find Multiples and Factors

To find Multiples of a number:

• Multiply the number by whole numbers (1, 2, 3, 4, …).
• Or keep adding the number repeatedly to get Multiples.

To check if a number is a multiple of another:

• Divide the number by the candidate number.
• If the result is a whole number (no remainder), it is a multiple.

To find Factors of a number:

• Write down Factor Pairs starting with 1 and the number itself.
• Check each integer from 1 up to the Square Root of the number:
  • If it divides the number evenly (no remainder), write down the factor pair.
• List all Factors from the Factor Pairs in ascending order.

Speakers / Sources Featured

• The video features a single narrator/instructor explaining the concepts. No other speakers or sources are mentioned.

Category

Educational

Video