A:
Positive:
1 x 231401177 x 330573111 x 210364713 x 178000977 x 30052191 x 254287143 x 1618191001 x 23117
Negative:
-1 x -23140117-7 x -3305731-11 x -2103647-13 x -1780009-77 x -300521-91 x -254287-143 x -161819-1001 x -23117
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 23,140,117, 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 | 23,140,117 | |
| -1 | -23,140,117 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 23,140,117.
Example:
1 x 23,140,117 = 23,140,117
and
-1 x -23,140,117 = 23,140,117
Notice both answers equal 23,140,117
With that explanation out of the way, let's continue. Next, we take the number 23,140,117 and divide it by 2:
23,140,117 ÷ 2 = 11,570,058.5
If the quotient is a whole number, then 2 and 11,570,058.5 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 | 23,140,117 | |
| -1 | -23,140,117 |
Now, we try dividing 23,140,117 by 3:
23,140,117 ÷ 3 = 7,713,372.3333
If the quotient is a whole number, then 3 and 7,713,372.3333 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 | 23,140,117 | |
| -1 | -23,140,117 |
Let's try dividing by 4:
23,140,117 ÷ 4 = 5,785,029.25
If the quotient is a whole number, then 4 and 5,785,029.25 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 | 23,140,117 | |
| -1 | 23,140,117 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 13 | 77 | 91 | 143 | 1,001 | 23,117 | 161,819 | 254,287 | 300,521 | 1,780,009 | 2,103,647 | 3,305,731 | 23,140,117 |
| -1 | -7 | -11 | -13 | -77 | -91 | -143 | -1,001 | -23,117 | -161,819 | -254,287 | -300,521 | -1,780,009 | -2,103,647 | -3,305,731 | -23,140,117 |
Here are some more numbers to try:
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