A:
Positive:
1 x 277126255 x 554252525 x 110850573 x 379625125 x 221701365 x 759251825 x 151853037 x 9125
Negative:
-1 x -27712625-5 x -5542525-25 x -1108505-73 x -379625-125 x -221701-365 x -75925-1825 x -15185-3037 x -9125
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 27,712,625, 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 | 27,712,625 | |
| -1 | -27,712,625 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 27,712,625.
Example:
1 x 27,712,625 = 27,712,625
and
-1 x -27,712,625 = 27,712,625
Notice both answers equal 27,712,625
With that explanation out of the way, let's continue. Next, we take the number 27,712,625 and divide it by 2:
27,712,625 ÷ 2 = 13,856,312.5
If the quotient is a whole number, then 2 and 13,856,312.5 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 | 27,712,625 | |
| -1 | -27,712,625 |
Now, we try dividing 27,712,625 by 3:
27,712,625 ÷ 3 = 9,237,541.6667
If the quotient is a whole number, then 3 and 9,237,541.6667 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 | 27,712,625 | |
| -1 | -27,712,625 |
Let's try dividing by 4:
27,712,625 ÷ 4 = 6,928,156.25
If the quotient is a whole number, then 4 and 6,928,156.25 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 | 27,712,625 | |
| -1 | 27,712,625 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 73 | 125 | 365 | 1,825 | 3,037 | 9,125 | 15,185 | 75,925 | 221,701 | 379,625 | 1,108,505 | 5,542,525 | 27,712,625 |
| -1 | -5 | -25 | -73 | -125 | -365 | -1,825 | -3,037 | -9,125 | -15,185 | -75,925 | -221,701 | -379,625 | -1,108,505 | -5,542,525 | -27,712,625 |
Here are some more numbers to try:
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