A:
Positive:
1 x 2352567255 x 4705134511 x 2138697525 x 941026955 x 427739571 x 3313475275 x 855479355 x 662695781 x 3012251775 x 1325393905 x 6024512049 x 19525
Negative:
-1 x -235256725-5 x -47051345-11 x -21386975-25 x -9410269-55 x -4277395-71 x -3313475-275 x -855479-355 x -662695-781 x -301225-1775 x -132539-3905 x -60245-12049 x -19525
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 235,256,725, 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 | 235,256,725 | |
| -1 | -235,256,725 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 235,256,725.
Example:
1 x 235,256,725 = 235,256,725
and
-1 x -235,256,725 = 235,256,725
Notice both answers equal 235,256,725
With that explanation out of the way, let's continue. Next, we take the number 235,256,725 and divide it by 2:
235,256,725 ÷ 2 = 117,628,362.5
If the quotient is a whole number, then 2 and 117,628,362.5 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 | 235,256,725 | |
| -1 | -235,256,725 |
Now, we try dividing 235,256,725 by 3:
235,256,725 ÷ 3 = 78,418,908.3333
If the quotient is a whole number, then 3 and 78,418,908.3333 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 | 235,256,725 | |
| -1 | -235,256,725 |
Let's try dividing by 4:
235,256,725 ÷ 4 = 58,814,181.25
If the quotient is a whole number, then 4 and 58,814,181.25 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 | 235,256,725 | |
| -1 | 235,256,725 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 25 | 55 | 71 | 275 | 355 | 781 | 1,775 | 3,905 | 12,049 | 19,525 | 60,245 | 132,539 | 301,225 | 662,695 | 855,479 | 3,313,475 | 4,277,395 | 9,410,269 | 21,386,975 | 47,051,345 | 235,256,725 |
| -1 | -5 | -11 | -25 | -55 | -71 | -275 | -355 | -781 | -1,775 | -3,905 | -12,049 | -19,525 | -60,245 | -132,539 | -301,225 | -662,695 | -855,479 | -3,313,475 | -4,277,395 | -9,410,269 | -21,386,975 | -47,051,345 | -235,256,725 |
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