A:
Positive:
1 x 25764328711 x 2342211719 x 13560173209 x 1232743613 x 4202992011 x 1281176743 x 3820911647 x 22121
Negative:
-1 x -257643287-11 x -23422117-19 x -13560173-209 x -1232743-613 x -420299-2011 x -128117-6743 x -38209-11647 x -22121
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 257,643,287, 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 | 257,643,287 | |
| -1 | -257,643,287 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 257,643,287.
Example:
1 x 257,643,287 = 257,643,287
and
-1 x -257,643,287 = 257,643,287
Notice both answers equal 257,643,287
With that explanation out of the way, let's continue. Next, we take the number 257,643,287 and divide it by 2:
257,643,287 ÷ 2 = 128,821,643.5
If the quotient is a whole number, then 2 and 128,821,643.5 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 | 257,643,287 | |
| -1 | -257,643,287 |
Now, we try dividing 257,643,287 by 3:
257,643,287 ÷ 3 = 85,881,095.6667
If the quotient is a whole number, then 3 and 85,881,095.6667 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 | 257,643,287 | |
| -1 | -257,643,287 |
Let's try dividing by 4:
257,643,287 ÷ 4 = 64,410,821.75
If the quotient is a whole number, then 4 and 64,410,821.75 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 | 257,643,287 | |
| -1 | 257,643,287 |
If you did it right, you will end up with this table:
| 1 | 11 | 19 | 209 | 613 | 2,011 | 6,743 | 11,647 | 22,121 | 38,209 | 128,117 | 420,299 | 1,232,743 | 13,560,173 | 23,422,117 | 257,643,287 |
| -1 | -11 | -19 | -209 | -613 | -2,011 | -6,743 | -11,647 | -22,121 | -38,209 | -128,117 | -420,299 | -1,232,743 | -13,560,173 | -23,422,117 | -257,643,287 |
Here are some more numbers to try:
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