A:
Positive:
1 x 3542430255 x 7084860517 x 2083782525 x 1416972185 x 4167565157 x 2256325425 x 833513785 x 4512652669 x 1327253925 x 902535309 x 6672513345 x 26545
Negative:
-1 x -354243025-5 x -70848605-17 x -20837825-25 x -14169721-85 x -4167565-157 x -2256325-425 x -833513-785 x -451265-2669 x -132725-3925 x -90253-5309 x -66725-13345 x -26545
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 354,243,025, 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 | 354,243,025 | |
| -1 | -354,243,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 354,243,025.
Example:
1 x 354,243,025 = 354,243,025
and
-1 x -354,243,025 = 354,243,025
Notice both answers equal 354,243,025
With that explanation out of the way, let's continue. Next, we take the number 354,243,025 and divide it by 2:
354,243,025 ÷ 2 = 177,121,512.5
If the quotient is a whole number, then 2 and 177,121,512.5 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 | 354,243,025 | |
| -1 | -354,243,025 |
Now, we try dividing 354,243,025 by 3:
354,243,025 ÷ 3 = 118,081,008.3333
If the quotient is a whole number, then 3 and 118,081,008.3333 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 | 354,243,025 | |
| -1 | -354,243,025 |
Let's try dividing by 4:
354,243,025 ÷ 4 = 88,560,756.25
If the quotient is a whole number, then 4 and 88,560,756.25 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 | 354,243,025 | |
| -1 | 354,243,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 17 | 25 | 85 | 157 | 425 | 785 | 2,669 | 3,925 | 5,309 | 13,345 | 26,545 | 66,725 | 90,253 | 132,725 | 451,265 | 833,513 | 2,256,325 | 4,167,565 | 14,169,721 | 20,837,825 | 70,848,605 | 354,243,025 |
| -1 | -5 | -17 | -25 | -85 | -157 | -425 | -785 | -2,669 | -3,925 | -5,309 | -13,345 | -26,545 | -66,725 | -90,253 | -132,725 | -451,265 | -833,513 | -2,256,325 | -4,167,565 | -14,169,721 | -20,837,825 | -70,848,605 | -354,243,025 |
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