A:
Positive:
1 x 2563771755 x 5127543525 x 1025508767 x 3826525269 x 953075335 x 765305569 x 4505751345 x 1906151675 x 1530612845 x 901156725 x 3812314225 x 18023
Negative:
-1 x -256377175-5 x -51275435-25 x -10255087-67 x -3826525-269 x -953075-335 x -765305-569 x -450575-1345 x -190615-1675 x -153061-2845 x -90115-6725 x -38123-14225 x -18023
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 256,377,175, 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 | 256,377,175 | |
| -1 | -256,377,175 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 256,377,175.
Example:
1 x 256,377,175 = 256,377,175
and
-1 x -256,377,175 = 256,377,175
Notice both answers equal 256,377,175
With that explanation out of the way, let's continue. Next, we take the number 256,377,175 and divide it by 2:
256,377,175 ÷ 2 = 128,188,587.5
If the quotient is a whole number, then 2 and 128,188,587.5 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 | 256,377,175 | |
| -1 | -256,377,175 |
Now, we try dividing 256,377,175 by 3:
256,377,175 ÷ 3 = 85,459,058.3333
If the quotient is a whole number, then 3 and 85,459,058.3333 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 | 256,377,175 | |
| -1 | -256,377,175 |
Let's try dividing by 4:
256,377,175 ÷ 4 = 64,094,293.75
If the quotient is a whole number, then 4 and 64,094,293.75 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 | 256,377,175 | |
| -1 | 256,377,175 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 67 | 269 | 335 | 569 | 1,345 | 1,675 | 2,845 | 6,725 | 14,225 | 18,023 | 38,123 | 90,115 | 153,061 | 190,615 | 450,575 | 765,305 | 953,075 | 3,826,525 | 10,255,087 | 51,275,435 | 256,377,175 |
| -1 | -5 | -25 | -67 | -269 | -335 | -569 | -1,345 | -1,675 | -2,845 | -6,725 | -14,225 | -18,023 | -38,123 | -90,115 | -153,061 | -190,615 | -450,575 | -765,305 | -953,075 | -3,826,525 | -10,255,087 | -51,275,435 | -256,377,175 |
Here are some more numbers to try:
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