A:
Positive:
1 x 321312255 x 64262457 x 459017525 x 128524935 x 91803589 x 361025175 x 183607445 x 72205623 x 515752063 x 155752225 x 144413115 x 10315
Negative:
-1 x -32131225-5 x -6426245-7 x -4590175-25 x -1285249-35 x -918035-89 x -361025-175 x -183607-445 x -72205-623 x -51575-2063 x -15575-2225 x -14441-3115 x -10315
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 32,131,225, 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 | 32,131,225 | |
| -1 | -32,131,225 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 32,131,225.
Example:
1 x 32,131,225 = 32,131,225
and
-1 x -32,131,225 = 32,131,225
Notice both answers equal 32,131,225
With that explanation out of the way, let's continue. Next, we take the number 32,131,225 and divide it by 2:
32,131,225 ÷ 2 = 16,065,612.5
If the quotient is a whole number, then 2 and 16,065,612.5 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 | 32,131,225 | |
| -1 | -32,131,225 |
Now, we try dividing 32,131,225 by 3:
32,131,225 ÷ 3 = 10,710,408.3333
If the quotient is a whole number, then 3 and 10,710,408.3333 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 | 32,131,225 | |
| -1 | -32,131,225 |
Let's try dividing by 4:
32,131,225 ÷ 4 = 8,032,806.25
If the quotient is a whole number, then 4 and 8,032,806.25 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 | 32,131,225 | |
| -1 | 32,131,225 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 25 | 35 | 89 | 175 | 445 | 623 | 2,063 | 2,225 | 3,115 | 10,315 | 14,441 | 15,575 | 51,575 | 72,205 | 183,607 | 361,025 | 918,035 | 1,285,249 | 4,590,175 | 6,426,245 | 32,131,225 |
| -1 | -5 | -7 | -25 | -35 | -89 | -175 | -445 | -623 | -2,063 | -2,225 | -3,115 | -10,315 | -14,441 | -15,575 | -51,575 | -72,205 | -183,607 | -361,025 | -918,035 | -1,285,249 | -4,590,175 | -6,426,245 | -32,131,225 |
Here are some more numbers to try:
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