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 $15 = 1 \times 15$ and $15 = 3 \times 5$
$\therefore 1, 3, 5$ 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 $8 = 8 \times 1, 8 = 2 \times 4$ and $8 = 4 \times 2$
$\therefore 1, 2, 4$ 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 $30 = 30 \times 1, 30 = 5 \times 6$ and $30 = 6 \times 5$
$\therefore 1, 5, 6$ 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 $20 = 20 \times 1, 20 = 4 \times 5$ and $20 = 5 \times 4$
$\therefore 1, 4, 5$ 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 $10 = 10 \times 1, 10 = 2 \times 5$ and $10 = 5 \times 2$
$\therefore 1, 2, 5$ 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 $15 = 1 \times 15$ and $15 = 3 \times 5$
$\therefore 1, 3, 5$ 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 $8 = 8 \times 1, 8 = 2 \times 4$ and $8 = 4 \times 2$
$\therefore 1, 2, 4$ 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 $30 = 30 \times 1, 30 = 5 \times 6$ and $30 = 6 \times 5$
$\therefore 1, 5, 6$ 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 $20 = 20 \times 1, 20 = 4 \times 5$ and $20 = 5 \times 4$
$\therefore 1, 4, 5$ 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 $10 = 10 \times 1, 10 = 2 \times 5$ and $10 = 5 \times 2$
$\therefore 1, 2, 5$ 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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