Multiplication Patterns

1. How can you tell if a number is a multiple of ten?

2. How can you tell if a number is a multiple of five?

3. Write down the multiples of 11 from 1 x 11 to 9 x 11.

4. The ones-digits for multiples of nine follow a pattern. What is the pattern?

5. A power of nine is a multiple of nine by itself. The first power of nine is 9. The second power of 9 is 9×9. The third power of nine is 9x9x9. The ones-digits of powers of nine form a pattern. What is the pattern?

Factors

Because 2 x 3 = 6, the  number 6 is called a product. 6 is the product of 2 and 3. The numbers 2 and 3 are factors of 6.

1. What are the factors of 9?

2. Is 3 a factor of 21?

3. Is 6 a factor of 33?

4. What are all of the factors of 42?

5. Every counting number has at least two factors. What are these two factors?

(A counting number is a positive whole number, such as 1, 2, 3, 4, 5, 6, and so on.) For example, what are the two factors of 7?

Answers

Try to do the multiplication by using patterns.

1.    22 x 10 = ________

2.     3 x 22 =  ________

3.     3 x 220 = _______

4.    10 x 14 = ________

5.     9 x 14 = _________