Q: What are the factor combinations of the number 91,117?
A:
Positive:
1 x 9111713 x 700943 x 2119163 x 559
Negative:
-1 x -91117-13 x -7009-43 x -2119-163 x -559
A:
Positive:
1 x 9111713 x 700943 x 2119163 x 559
Negative:
-1 x -91117-13 x -7009-43 x -2119-163 x -559
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 91,117, 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 | 91,117 | |
-1 | -91,117 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 91,117.
Example:
1 x 91,117 = 91,117
and
-1 x -91,117 = 91,117
Notice both answers equal 91,117
With that explanation out of the way, let's continue. Next, we take the number 91,117 and divide it by 2:
91,117 ÷ 2 = 45,558.5
If the quotient is a whole number, then 2 and 45,558.5 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 | 91,117 | |
-1 | -91,117 |
Now, we try dividing 91,117 by 3:
91,117 ÷ 3 = 30,372.3333
If the quotient is a whole number, then 3 and 30,372.3333 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 | 91,117 | |
-1 | -91,117 |
Let's try dividing by 4:
91,117 ÷ 4 = 22,779.25
If the quotient is a whole number, then 4 and 22,779.25 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 | 91,117 | |
-1 | 91,117 |
If you did it right, you will end up with this table:
1 | 13 | 43 | 163 | 559 | 2,119 | 7,009 | 91,117 |
-1 | -13 | -43 | -163 | -559 | -2,119 | -7,009 | -91,117 |
Here are some more numbers to try:
Try the factor calculator