## Math 6A, Lesson 1, Fall 2020, 9/13/2020

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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:

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