Q: What are the factor combinations of the number 23,693?
A:
Positive:
1 x 2369319 x 124729 x 81743 x 551
Negative:
-1 x -23693-19 x -1247-29 x -817-43 x -551
A:
Positive:
1 x 2369319 x 124729 x 81743 x 551
Negative:
-1 x -23693-19 x -1247-29 x -817-43 x -551
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 23,693, 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 | 23,693 | |
-1 | -23,693 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 23,693.
Example:
1 x 23,693 = 23,693
and
-1 x -23,693 = 23,693
Notice both answers equal 23,693
With that explanation out of the way, let's continue. Next, we take the number 23,693 and divide it by 2:
23,693 ÷ 2 = 11,846.5
If the quotient is a whole number, then 2 and 11,846.5 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 | 23,693 | |
-1 | -23,693 |
Now, we try dividing 23,693 by 3:
23,693 ÷ 3 = 7,897.6667
If the quotient is a whole number, then 3 and 7,897.6667 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 | 23,693 | |
-1 | -23,693 |
Let's try dividing by 4:
23,693 ÷ 4 = 5,923.25
If the quotient is a whole number, then 4 and 5,923.25 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 | 23,693 | |
-1 | 23,693 |
If you did it right, you will end up with this table:
1 | 19 | 29 | 43 | 551 | 817 | 1,247 | 23,693 |
-1 | -19 | -29 | -43 | -551 | -817 | -1,247 | -23,693 |
Here are some more numbers to try:
Try the factor calculator