A:
Positive:
1 x 23137866713 x 17798359167 x 1385501197 x 1174511541 x 4276872171 x 1065772561 x 903477033 x 32899
Negative:
-1 x -231378667-13 x -17798359-167 x -1385501-197 x -1174511-541 x -427687-2171 x -106577-2561 x -90347-7033 x -32899
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 231,378,667, 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 | 231,378,667 | |
| -1 | -231,378,667 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 231,378,667.
Example:
1 x 231,378,667 = 231,378,667
and
-1 x -231,378,667 = 231,378,667
Notice both answers equal 231,378,667
With that explanation out of the way, let's continue. Next, we take the number 231,378,667 and divide it by 2:
231,378,667 ÷ 2 = 115,689,333.5
If the quotient is a whole number, then 2 and 115,689,333.5 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 | 231,378,667 | |
| -1 | -231,378,667 |
Now, we try dividing 231,378,667 by 3:
231,378,667 ÷ 3 = 77,126,222.3333
If the quotient is a whole number, then 3 and 77,126,222.3333 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 | 231,378,667 | |
| -1 | -231,378,667 |
Let's try dividing by 4:
231,378,667 ÷ 4 = 57,844,666.75
If the quotient is a whole number, then 4 and 57,844,666.75 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 | 231,378,667 | |
| -1 | 231,378,667 |
If you did it right, you will end up with this table:
| 1 | 13 | 167 | 197 | 541 | 2,171 | 2,561 | 7,033 | 32,899 | 90,347 | 106,577 | 427,687 | 1,174,511 | 1,385,501 | 17,798,359 | 231,378,667 |
| -1 | -13 | -167 | -197 | -541 | -2,171 | -2,561 | -7,033 | -32,899 | -90,347 | -106,577 | -427,687 | -1,174,511 | -1,385,501 | -17,798,359 | -231,378,667 |
Here are some more numbers to try:
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