Q: What are the factor combinations of the number 28,747?
A:
Positive:
1 x 2874717 x 169119 x 151389 x 323
Negative:
-1 x -28747-17 x -1691-19 x -1513-89 x -323
A:
Positive:
1 x 2874717 x 169119 x 151389 x 323
Negative:
-1 x -28747-17 x -1691-19 x -1513-89 x -323
Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 28,747, it is easier to work with a table - it's called factoring from the outside in.
We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.
1 | 28,747 | |
-1 | -28,747 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 28,747.
Example:
1 x 28,747 = 28,747
and
-1 x -28,747 = 28,747
Notice both answers equal 28,747
With that explanation out of the way, let's continue. Next, we take the number 28,747 and divide it by 2:
28,747 ÷ 2 = 14,373.5
If the quotient is a whole number, then 2 and 14,373.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
1 | 28,747 | |
-1 | -28,747 |
Now, we try dividing 28,747 by 3:
28,747 ÷ 3 = 9,582.3333
If the quotient is a whole number, then 3 and 9,582.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
1 | 28,747 | |
-1 | -28,747 |
Let's try dividing by 4:
28,747 ÷ 4 = 7,186.75
If the quotient is a whole number, then 4 and 7,186.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
1 | 28,747 | |
-1 | 28,747 |
If you did it right, you will end up with this table:
1 | 17 | 19 | 89 | 323 | 1,513 | 1,691 | 28,747 |
-1 | -17 | -19 | -89 | -323 | -1,513 | -1,691 | -28,747 |
Here are some more numbers to try:
Try the factor calculator