Q: What are the factor combinations of the number 293,687?
A:
Positive:
1 x 29368723 x 12769113 x 2599
Negative:
-1 x -293687-23 x -12769-113 x -2599
A:
Positive:
1 x 29368723 x 12769113 x 2599
Negative:
-1 x -293687-23 x -12769-113 x -2599
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 293,687, 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 | 293,687 | |
-1 | -293,687 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 293,687.
Example:
1 x 293,687 = 293,687
and
-1 x -293,687 = 293,687
Notice both answers equal 293,687
With that explanation out of the way, let's continue. Next, we take the number 293,687 and divide it by 2:
293,687 ÷ 2 = 146,843.5
If the quotient is a whole number, then 2 and 146,843.5 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 | 293,687 | |
-1 | -293,687 |
Now, we try dividing 293,687 by 3:
293,687 ÷ 3 = 97,895.6667
If the quotient is a whole number, then 3 and 97,895.6667 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 | 293,687 | |
-1 | -293,687 |
Let's try dividing by 4:
293,687 ÷ 4 = 73,421.75
If the quotient is a whole number, then 4 and 73,421.75 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 | 293,687 | |
-1 | 293,687 |
If you did it right, you will end up with this table:
1 | 23 | 113 | 2,599 | 12,769 | 293,687 |
-1 | -23 | -113 | -2,599 | -12,769 | -293,687 |
Here are some more numbers to try:
Try the factor calculator