Question
Define (i) FACTOR, (ii) MULTIPLE. Give five example of each.
✓
Answer
Factor: A factor of a number is an exact divisor of that number.
Multiple: A multiple of a number is a number obtained by multiplying it by a natural number.
Example 1: We know that 15 = 1 × 15 and 15 = 3 × 5
$\therefore$ 1, 3, 5 and 15 are the factors of 15.
In other words, we can say that 15 is a multiple of 1, 3, 5 and 15.
Example 2: We know that 8 = 8 × 1, 8 = 2 × 4 and 8 = 4 × 2
$\therefore$ 1, 2, 4 and 8 are the factors of 8.
In other words, we can say that 8 is a multiple of 1, 2, 4 and 8.
Example 3: We know that 30 = 30 × 1, 30 = 5 × 6 and 30 = 6 × 5
$\therefore$ 1, 5, 6 and 30 are factors of 30.
In other words, we can say that 30 is a multiple of 1, 5, 6 and 30.
Example 4: We know that 20 = 20 × 1, 20 = 4 × 5 and 20 = 5 × 4
$\therefore$ 1, 4, 5 and 20 are factors of 20.
In other words, we can say that 20 is a multiple of 1, 4, 5 and 20.
Example 5: We know that 10 = 10 × 1, 10 = 2 × 5 and 10 = 5 × 2
$\therefore$ 1, 2, 5 and 10 are factors of 10.
In other words, we can say that 10 is a multiple of 1, 2, 5 and 10.
Multiple: A multiple of a number is a number obtained by multiplying it by a natural number.
Example 1: We know that 15 = 1 × 15 and 15 = 3 × 5
$\therefore$ 1, 3, 5 and 15 are the factors of 15.
In other words, we can say that 15 is a multiple of 1, 3, 5 and 15.
Example 2: We know that 8 = 8 × 1, 8 = 2 × 4 and 8 = 4 × 2
$\therefore$ 1, 2, 4 and 8 are the factors of 8.
In other words, we can say that 8 is a multiple of 1, 2, 4 and 8.
Example 3: We know that 30 = 30 × 1, 30 = 5 × 6 and 30 = 6 × 5
$\therefore$ 1, 5, 6 and 30 are factors of 30.
In other words, we can say that 30 is a multiple of 1, 5, 6 and 30.
Example 4: We know that 20 = 20 × 1, 20 = 4 × 5 and 20 = 5 × 4
$\therefore$ 1, 4, 5 and 20 are factors of 20.
In other words, we can say that 20 is a multiple of 1, 4, 5 and 20.
Example 5: We know that 10 = 10 × 1, 10 = 2 × 5 and 10 = 5 × 2
$\therefore$ 1, 2, 5 and 10 are factors of 10.
In other words, we can say that 10 is a multiple of 1, 2, 5 and 10.
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