A:
Positive:
1 x 355142055 x 7102841113 x 314285239 x 148595263 x 135035565 x 628571195 x 297191315 x 27007
Negative:
-1 x -35514205-5 x -7102841-113 x -314285-239 x -148595-263 x -135035-565 x -62857-1195 x -29719-1315 x -27007
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 35,514,205, 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 | 35,514,205 | |
| -1 | -35,514,205 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 35,514,205.
Example:
1 x 35,514,205 = 35,514,205
and
-1 x -35,514,205 = 35,514,205
Notice both answers equal 35,514,205
With that explanation out of the way, let's continue. Next, we take the number 35,514,205 and divide it by 2:
35,514,205 ÷ 2 = 17,757,102.5
If the quotient is a whole number, then 2 and 17,757,102.5 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 | 35,514,205 | |
| -1 | -35,514,205 |
Now, we try dividing 35,514,205 by 3:
35,514,205 ÷ 3 = 11,838,068.3333
If the quotient is a whole number, then 3 and 11,838,068.3333 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 | 35,514,205 | |
| -1 | -35,514,205 |
Let's try dividing by 4:
35,514,205 ÷ 4 = 8,878,551.25
If the quotient is a whole number, then 4 and 8,878,551.25 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 | 35,514,205 | |
| -1 | 35,514,205 |
If you did it right, you will end up with this table:
| 1 | 5 | 113 | 239 | 263 | 565 | 1,195 | 1,315 | 27,007 | 29,719 | 62,857 | 135,035 | 148,595 | 314,285 | 7,102,841 | 35,514,205 |
| -1 | -5 | -113 | -239 | -263 | -565 | -1,195 | -1,315 | -27,007 | -29,719 | -62,857 | -135,035 | -148,595 | -314,285 | -7,102,841 | -35,514,205 |
Here are some more numbers to try:
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