A:
Positive:
1 x 12074725311 x 10977023107 x 1128479173 x 697961593 x 2036211177 x 1025891903 x 634516523 x 18511
Negative:
-1 x -120747253-11 x -10977023-107 x -1128479-173 x -697961-593 x -203621-1177 x -102589-1903 x -63451-6523 x -18511
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 120,747,253, 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 | 120,747,253 | |
| -1 | -120,747,253 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 120,747,253.
Example:
1 x 120,747,253 = 120,747,253
and
-1 x -120,747,253 = 120,747,253
Notice both answers equal 120,747,253
With that explanation out of the way, let's continue. Next, we take the number 120,747,253 and divide it by 2:
120,747,253 ÷ 2 = 60,373,626.5
If the quotient is a whole number, then 2 and 60,373,626.5 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 | 120,747,253 | |
| -1 | -120,747,253 |
Now, we try dividing 120,747,253 by 3:
120,747,253 ÷ 3 = 40,249,084.3333
If the quotient is a whole number, then 3 and 40,249,084.3333 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 | 120,747,253 | |
| -1 | -120,747,253 |
Let's try dividing by 4:
120,747,253 ÷ 4 = 30,186,813.25
If the quotient is a whole number, then 4 and 30,186,813.25 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 | 120,747,253 | |
| -1 | 120,747,253 |
If you did it right, you will end up with this table:
| 1 | 11 | 107 | 173 | 593 | 1,177 | 1,903 | 6,523 | 18,511 | 63,451 | 102,589 | 203,621 | 697,961 | 1,128,479 | 10,977,023 | 120,747,253 |
| -1 | -11 | -107 | -173 | -593 | -1,177 | -1,903 | -6,523 | -18,511 | -63,451 | -102,589 | -203,621 | -697,961 | -1,128,479 | -10,977,023 | -120,747,253 |
Here are some more numbers to try:
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