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When two numbers are multiplied to get a third number, the two numbers are factors.
Consider: a x b = c , a and b are factors of c. c is referred to as the Multiple.
A composite number is a number with more than two factors.
Factors of Composite numbers
a) Write all the factors of 32
b) Express 32 as a product of two factors in 3 ways
a) Factors of 32 are:
1, 2, 4, 8, 16, 32
b) 24
= 1 x 32
= 2 x 16
= 8 x 4
Prime Factors
A prime number is a whole number greater than 1 that cannot be made by multiplying other whole numbers.
E.g 2, 3, 5, 7, 11, 23.
a) Write 120 as a product of it's prime factors in power form.
120
= 2 x 60
= 2 x 2 x 30
= 2 x 2 x 2 x 15
= 2 x 2 x 2 x 3 x 5
= 23 x 3 x 5
The above example can be presented using the factor tree method
b) Expand and find the value of 24 x 72 x 11
24 x 72 x 11
= 2 x 2 x 2 x 2 x 7 x 7 x 11
= 16 x 49 x 11
= 8624
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