A:
Positive:
1 x 352005855 x 70401177 x 502865535 x 1005731409 x 860652045 x 172132459 x 143152863 x 12295
Negative:
-1 x -35200585-5 x -7040117-7 x -5028655-35 x -1005731-409 x -86065-2045 x -17213-2459 x -14315-2863 x -12295
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 35,200,585, 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 | 35,200,585 | |
| -1 | -35,200,585 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 35,200,585.
Example:
1 x 35,200,585 = 35,200,585
and
-1 x -35,200,585 = 35,200,585
Notice both answers equal 35,200,585
With that explanation out of the way, let's continue. Next, we take the number 35,200,585 and divide it by 2:
35,200,585 ÷ 2 = 17,600,292.5
If the quotient is a whole number, then 2 and 17,600,292.5 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 | 35,200,585 | |
| -1 | -35,200,585 |
Now, we try dividing 35,200,585 by 3:
35,200,585 ÷ 3 = 11,733,528.3333
If the quotient is a whole number, then 3 and 11,733,528.3333 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 | 35,200,585 | |
| -1 | -35,200,585 |
Let's try dividing by 4:
35,200,585 ÷ 4 = 8,800,146.25
If the quotient is a whole number, then 4 and 8,800,146.25 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 | 35,200,585 | |
| -1 | 35,200,585 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 35 | 409 | 2,045 | 2,459 | 2,863 | 12,295 | 14,315 | 17,213 | 86,065 | 1,005,731 | 5,028,655 | 7,040,117 | 35,200,585 |
| -1 | -5 | -7 | -35 | -409 | -2,045 | -2,459 | -2,863 | -12,295 | -14,315 | -17,213 | -86,065 | -1,005,731 | -5,028,655 | -7,040,117 | -35,200,585 |
Here are some more numbers to try:
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