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.

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 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.

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.

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.