Find factor pairs (below 100)

In the statement $3\times5=15$3×5=15 we have a product (which is the answer of $15$15), and a factor pair of $3$3 and $5$5. The numbers that multiply together to give us the product are factors, when we have 2 of them that multiply to give us a product they are a factor pair.  There is another factor pair for 15.  Can you find it? 

Sometimes there is more than one factor pair.  For example, the number 12. Could be written as 

$2\times6=12$2×6=12

$3\times4=12$3×4=12

$1\times12=12$1×12=12

So $12$12 has $3$3 factor pairs.  2 and 6, 1 and 12, 3 and 4.

 

Every number will have at least one factor pair.  Prime numbers have only one factor pair, of $1$1 and itself. For example $7$7.  It's only factor pair is $1$1 and $7$7.  

 

Example 1 - Using a multiplication table

Let's find the factor pairs for the number $6$6.

$\times$×	$1$1	$2$2	$3$3	$4$4	$5$5	$6$6
$1$1	$1$1	$2$2	$3$3	$4$4	$5$5	$6$6
$2$2	$2$2	$4$4	$6$6	$8$8	$10$10	$12$12
$3$3	$3$3	$6$6	$9$9	$12$12	$15$15	$18$18
$4$4	$4$4	$8$8	$12$12	$16$16	$20$20	$24$24
$5$5	$5$5	$10$10	$15$15	$20$20	$25$25	$30$30
$6$6	$6$6	$12$12	$18$18	$24$24	$30$30	$36$36

Using the table we can find all the numbers that multiply to give $6$6. We will only count factor pairs once, so, $1\times6$1×6is the same as $6\times1$6×1. So $1$1 and $6$6 are one set of factors for the number $6$6. 

Using the table, what are the other factor pairs of $6$6? 

Using the table we can look for all the numbers that multiply together to give $6$6.

The factor pairs of 6 are:

• 1 and 6, &
• 2 and 3. 

 

 

Examples

Question 1

Question 2

Question 3