# Week 4: Prime Numbers – Day 5

1. The prime decomposition of a number is 2 x 11. What are all possible factors of the number?

2. The prime decomposition of a number is 2 x 3 x 3 x 5. What are all possible factors of the number?

3. The prime decomposition of a number is 2 x 3 x 5 x 7. Is this number divisible by 21?

4. The prime decomposition of a number is 2 x 2 x 5 x 5 x 5. How many zeros are at the right end of the number (in other words, how many multiples of 10 can go into the number)?

5. Sally has opens her book. The product of the two open page numbers is 210. What are the page numbers?

# Week 4: Prime Numbers – Day 4

Prime Decomposition

Positive whole numbers can be written as products of prime numbers, in a unique way from smallest prime factor to largest prime factor.

1. What are the prime factors of 6?

2. What are the prime factors of 42?

3. What are the prime factors of 32?

4. Write the number 45 as a product of primes.

5. Write the number 84 as a product of primes.

# Week 2: Multiplication – Day 4

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?

# Week 2: Multiplication – Day 3

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?

# Week 2: Multiplication – Day 1

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 = _________