A:
Positive:
1 x 7265716913 x 558901379 x 919711263 x 276263269 x 2701011027 x 707473419 x 212513497 x 20777
Negative:
-1 x -72657169-13 x -5589013-79 x -919711-263 x -276263-269 x -270101-1027 x -70747-3419 x -21251-3497 x -20777
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 72,657,169, 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 | 72,657,169 | |
| -1 | -72,657,169 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 72,657,169.
Example:
1 x 72,657,169 = 72,657,169
and
-1 x -72,657,169 = 72,657,169
Notice both answers equal 72,657,169
With that explanation out of the way, let's continue. Next, we take the number 72,657,169 and divide it by 2:
72,657,169 ÷ 2 = 36,328,584.5
If the quotient is a whole number, then 2 and 36,328,584.5 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 | 72,657,169 | |
| -1 | -72,657,169 |
Now, we try dividing 72,657,169 by 3:
72,657,169 ÷ 3 = 24,219,056.3333
If the quotient is a whole number, then 3 and 24,219,056.3333 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 | 72,657,169 | |
| -1 | -72,657,169 |
Let's try dividing by 4:
72,657,169 ÷ 4 = 18,164,292.25
If the quotient is a whole number, then 4 and 18,164,292.25 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 | 72,657,169 | |
| -1 | 72,657,169 |
If you did it right, you will end up with this table:
| 1 | 13 | 79 | 263 | 269 | 1,027 | 3,419 | 3,497 | 20,777 | 21,251 | 70,747 | 270,101 | 276,263 | 919,711 | 5,589,013 | 72,657,169 |
| -1 | -13 | -79 | -263 | -269 | -1,027 | -3,419 | -3,497 | -20,777 | -21,251 | -70,747 | -270,101 | -276,263 | -919,711 | -5,589,013 | -72,657,169 |
Here are some more numbers to try:
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