**1. Factors**: the number 12 can be expressed as the product of two smaller whole numbers as follow:

12 = 1 x 12

12 = 2 x 6

12 = 3 x 4

1, 2, 3, 4, 6, and 12 are called** factors** of 12. We say that 12 is **divisible** by each of its factors.

**2. Multiplies: **when a number is multiplied by a non-zero whole number, we get multiple of the number:

The multiple of 3 are: 3×1, 3×2, 3×3, 3×4, 3×5, …

That is: 3, 6, 9, 12, 15, …

The multiple of 4 are: 4×1, 4×2, 4×3, 4×4, 4×5, …

That is: 4, 8, 12, 16, 20, …

**3. Link between factors and multiplies**:

Recall 3 and 4 are factors of 12. Interestingly, 12 is a multiple of both 3 and 4. The number 12 is a multiple of each of its factors 1, 2, 3, 4, 6, and 12.

**4. Prime number, composite number, prime factor**

**Prime number: a prime number is a whole number greater than 1 that has only two factors. 1 and itself. 2, 3, 5, 7, 11, 13, 17, 19, …****Composite number**: a composite number is a whole number greater than 1 that has more than two factors.**Prime factor**: a prime number that is a factor of a composite number is called a prime factor of the composite number.

**5. Prime factorization methods:**

**Factor tree: teaching on whiteboard in the class****Continuous division:**teaching on whiteboard in the class**divisibility:**https://www.khanacademy.org/math/pre-algebra/pre-algebra-factors-multiples/pre-algebra-divisibility-tests/v/divisibility-tests-for-2-3-4-5-6-9-10

**6. Exponential notation:**

Squared, cubed, fourth power, … teaching on whiteboard in the class

**7. Home Work:**

- Handout: three pages
- Workbook page 1: 1, 2, 3, 4, 5