Topic Content:
- Meaning of Factors of a Number
- Meaning of Multiples of a Number
- Meaning of Prime Number
- Meaning of Prime Factor
- Express a Number as a Product of its Prime Factors
- Worked Examples
Factors:
The factors of a number are the whole numbers that divide the number without any remainder. e.g. the factors of 18 may be found as follows:
Factors of 18 are 1, 2, 3, 6, 9, 18
Multiples:
A multiple of a whole number is obtained by multiplying it by any whole number e.g.
The multiples of 4 are
4 × 1, 4 × 2, 4 × 3, 4 × 4, 4 × 5, 4 × 6 …..
which are 4, 8, 12, 16, 20, 24, …. etc
Worked Example 5.1.1:
a. Find all the factors of 36
b. State which of these factors are even
c. State which of these factors are odd
Solution
a. Factors of 36 = 1, 2, 3, 4, 9, 12, 18 and 36
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