A:
Positive:
1 x 23126250129 x 7974569103 x 2245267139 x 1663759557 x 4151932987 x 774234031 x 5737114317 x 16153
Negative:
-1 x -231262501-29 x -7974569-103 x -2245267-139 x -1663759-557 x -415193-2987 x -77423-4031 x -57371-14317 x -16153
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 231,262,501, 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 | 231,262,501 | |
| -1 | -231,262,501 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 231,262,501.
Example:
1 x 231,262,501 = 231,262,501
and
-1 x -231,262,501 = 231,262,501
Notice both answers equal 231,262,501
With that explanation out of the way, let's continue. Next, we take the number 231,262,501 and divide it by 2:
231,262,501 ÷ 2 = 115,631,250.5
If the quotient is a whole number, then 2 and 115,631,250.5 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 | 231,262,501 | |
| -1 | -231,262,501 |
Now, we try dividing 231,262,501 by 3:
231,262,501 ÷ 3 = 77,087,500.3333
If the quotient is a whole number, then 3 and 77,087,500.3333 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 | 231,262,501 | |
| -1 | -231,262,501 |
Let's try dividing by 4:
231,262,501 ÷ 4 = 57,815,625.25
If the quotient is a whole number, then 4 and 57,815,625.25 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 | 231,262,501 | |
| -1 | 231,262,501 |
If you did it right, you will end up with this table:
| 1 | 29 | 103 | 139 | 557 | 2,987 | 4,031 | 14,317 | 16,153 | 57,371 | 77,423 | 415,193 | 1,663,759 | 2,245,267 | 7,974,569 | 231,262,501 |
| -1 | -29 | -103 | -139 | -557 | -2,987 | -4,031 | -14,317 | -16,153 | -57,371 | -77,423 | -415,193 | -1,663,759 | -2,245,267 | -7,974,569 | -231,262,501 |
Here are some more numbers to try:
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