A:
Positive:
1 x 1206531417 x 1723616343 x 280588749 x 2462309173 x 697417301 x 400841331 x 3645111211 x 996312107 x 572632317 x 520737439 x 162198477 x 14233
Negative:
-1 x -120653141-7 x -17236163-43 x -2805887-49 x -2462309-173 x -697417-301 x -400841-331 x -364511-1211 x -99631-2107 x -57263-2317 x -52073-7439 x -16219-8477 x -14233
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 120,653,141, 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 | 120,653,141 | |
| -1 | -120,653,141 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 120,653,141.
Example:
1 x 120,653,141 = 120,653,141
and
-1 x -120,653,141 = 120,653,141
Notice both answers equal 120,653,141
With that explanation out of the way, let's continue. Next, we take the number 120,653,141 and divide it by 2:
120,653,141 ÷ 2 = 60,326,570.5
If the quotient is a whole number, then 2 and 60,326,570.5 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 | 120,653,141 | |
| -1 | -120,653,141 |
Now, we try dividing 120,653,141 by 3:
120,653,141 ÷ 3 = 40,217,713.6667
If the quotient is a whole number, then 3 and 40,217,713.6667 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 | 120,653,141 | |
| -1 | -120,653,141 |
Let's try dividing by 4:
120,653,141 ÷ 4 = 30,163,285.25
If the quotient is a whole number, then 4 and 30,163,285.25 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 | 120,653,141 | |
| -1 | 120,653,141 |
If you did it right, you will end up with this table:
| 1 | 7 | 43 | 49 | 173 | 301 | 331 | 1,211 | 2,107 | 2,317 | 7,439 | 8,477 | 14,233 | 16,219 | 52,073 | 57,263 | 99,631 | 364,511 | 400,841 | 697,417 | 2,462,309 | 2,805,887 | 17,236,163 | 120,653,141 |
| -1 | -7 | -43 | -49 | -173 | -301 | -331 | -1,211 | -2,107 | -2,317 | -7,439 | -8,477 | -14,233 | -16,219 | -52,073 | -57,263 | -99,631 | -364,511 | -400,841 | -697,417 | -2,462,309 | -2,805,887 | -17,236,163 | -120,653,141 |
Here are some more numbers to try:
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