A:
Positive:
1 x 355110255 x 710220511 x 322827525 x 142044155 x 645655139 x 255475275 x 129131695 x 51095929 x 382251529 x 232253475 x 102194645 x 7645
Negative:
-1 x -35511025-5 x -7102205-11 x -3228275-25 x -1420441-55 x -645655-139 x -255475-275 x -129131-695 x -51095-929 x -38225-1529 x -23225-3475 x -10219-4645 x -7645
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 35,511,025, 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 | 35,511,025 | |
| -1 | -35,511,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 35,511,025.
Example:
1 x 35,511,025 = 35,511,025
and
-1 x -35,511,025 = 35,511,025
Notice both answers equal 35,511,025
With that explanation out of the way, let's continue. Next, we take the number 35,511,025 and divide it by 2:
35,511,025 ÷ 2 = 17,755,512.5
If the quotient is a whole number, then 2 and 17,755,512.5 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 | 35,511,025 | |
| -1 | -35,511,025 |
Now, we try dividing 35,511,025 by 3:
35,511,025 ÷ 3 = 11,837,008.3333
If the quotient is a whole number, then 3 and 11,837,008.3333 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 | 35,511,025 | |
| -1 | -35,511,025 |
Let's try dividing by 4:
35,511,025 ÷ 4 = 8,877,756.25
If the quotient is a whole number, then 4 and 8,877,756.25 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 | 35,511,025 | |
| -1 | 35,511,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 25 | 55 | 139 | 275 | 695 | 929 | 1,529 | 3,475 | 4,645 | 7,645 | 10,219 | 23,225 | 38,225 | 51,095 | 129,131 | 255,475 | 645,655 | 1,420,441 | 3,228,275 | 7,102,205 | 35,511,025 |
| -1 | -5 | -11 | -25 | -55 | -139 | -275 | -695 | -929 | -1,529 | -3,475 | -4,645 | -7,645 | -10,219 | -23,225 | -38,225 | -51,095 | -129,131 | -255,475 | -645,655 | -1,420,441 | -3,228,275 | -7,102,205 | -35,511,025 |
Here are some more numbers to try:
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