Lesson 9 Factors, Multiples, Primes and Squares. Mathswatch 44/95/96

Lesson 9 Factors, Multiples, Primes and Squares.Mathswatch 44/95/96

GCSE Maths Starter 9Expand 5(x 3)Simplify y x y What is 304 8

What is 60C converted into F?

1) Describe the Correlation in the scatter graph below..

To identify factors, multiples, squares and prime numbersTo find the prime factor decomposition of positive integersTo find the Highest Common Factor (HCF) and the Least Common Multiple (LCM) of two numbersEXTN: To solve real life problems involving HCF and LCM.(Grade C)

Lesson 9 Factors, Multiples, Primes and Squares.Mathswatch 44/95/96What are the first five multiples of:3411213, 6, 9, 12, 154, 8, 12, 16, 2011, 22, 33, 44, 5521, 42, 63, 82, 105A multiple of a number is what you get when you multiply that number by some other whole number.

Multiples are Usually Larger Than Individual numbers, Possibly Larger never Ever Smaller

Lesson 9 Factors, Multiples, Primes and Squares.Mathswatch 44/95/964 71119232173749 9224563578127697799 1X 723171119XX2XXXXXXXXXX3739

Identify the prime numbers in the grid below. There are 7 to find.

Lesson 9 Factors, Multiples, Primes and Squares.Mathswatch 44/95/96Lowest Common Multiple the lowest number in two or more numbers times tables.

Q. Find the LCM of 4 and 6.Write out the first six numbers the 4 and 6 times tablesLook for the first number that appears in both lists.

Lesson 9 Factors, Multiples, Primes and Squares.Mathswatch 44/95/96Example LCMFind the LCM of 4 and 6

4, 8, 12, 16, 20, 24,.

6, 12, 18, 24, 30, 36,

We want the LOWEST common multiple, so the LCM of 4 and 6 is12

Lesson 9 Factors, Multiples, Primes and Squares.Mathswatch 44/95/962 and 5

3 and 4

4 and 8

5 and 63 and 8

4 and 9

8 and 10

4, 5 and 12.

101283024364060Find the LCM of the following:

Lesson 9 Factors, Multiples, Primes and Squares.Mathswatch 44/95/96What are the factors of:1630871, 2, 4, 8, 161, 2, 5, 6, 15, 301, 2, 4, 81, 7A factor is a whole number which divides exactly into a whole number, leaving no remainder.Factors Are Certainly Tiny Or Really SmallA prime number has exactly two factors: 1, and the number itself.

Lesson 9 Factors, Multiples, Primes and Squares.Mathswatch 44/95/969Highest Common Factor (HCF) the LARGEST number that goes into two or more numbers exactly.Write out all the factors for each number.

Example: Find the HCF of 32 and 5632 1, 2, 4, 8, 16, 3256 1, 2, 4, 7, 8, 14, 28, 56 HCF = 8

Lesson 9 Factors, Multiples, Primes and Squares.Mathswatch 44/95/968 and 12

9 and 15

10 and 30

18 and 3332 and 80

60 and 108

36, 64, and 76

48, 60 and 84Find the HCF of the following numbers:431031612412

Lesson 9 Factors, Multiples, Primes and Squares.Mathswatch 44/95/96Prime FactorsWe can use a factor tree to enable us to write a number as a product of its prime factors

Each time you reach a prime number, you stop and circle that number.

Lesson 9 Factors, Multiples, Primes and Squares.Mathswatch 44/95/96Example: Write 84 as a product of its prime factors

84 = 2 x 2 x 3 x 784 = 22 x 3 x 7

Now your turn: Write 42 as a product of prime factors.

8424222137

Lesson 9 Factors, Multiples, Primes and Squares.Mathswatch 44/95/96Your turnFind the HCF of the following:

18 and 2816 and 4042 and 9040 and 6320, 64 and 10854, 90 and 162Find the LCM of the following:

4 and 58 and 126 and 912 and 155, 8 and 104, 7 and 9Write the following as products of their prime factors.

a) 18b) 135c) 154d) 23102861418202418604025232 x 233 x 52 x 7 x 112 x 3 x 5 x 7 x 11To identify factors, multiples, squares and prime numbersTo find the prime factor decomposition of positive integersTo find the Highest Common Factor (HCF) and the Least Common Multiple (LCM) of two numbersEXTN: To solve real life problems involving HCF and LCM.(Grade C)

Lesson 9 Factors, Multiples, Primes and Squares.Mathswatch 44/95/96