A:
Positive:
1 x 8230775655 x 16461551329 x 28381985145 x 5676397457 x 18010452285 x 36020912421 x 6626513253 x 62105
Negative:
-1 x -823077565-5 x -164615513-29 x -28381985-145 x -5676397-457 x -1801045-2285 x -360209-12421 x -66265-13253 x -62105
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 823,077,565, 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 | 823,077,565 | |
| -1 | -823,077,565 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 823,077,565.
Example:
1 x 823,077,565 = 823,077,565
and
-1 x -823,077,565 = 823,077,565
Notice both answers equal 823,077,565
With that explanation out of the way, let's continue. Next, we take the number 823,077,565 and divide it by 2:
823,077,565 ÷ 2 = 411,538,782.5
If the quotient is a whole number, then 2 and 411,538,782.5 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 | 823,077,565 | |
| -1 | -823,077,565 |
Now, we try dividing 823,077,565 by 3:
823,077,565 ÷ 3 = 274,359,188.3333
If the quotient is a whole number, then 3 and 274,359,188.3333 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 | 823,077,565 | |
| -1 | -823,077,565 |
Let's try dividing by 4:
823,077,565 ÷ 4 = 205,769,391.25
If the quotient is a whole number, then 4 and 205,769,391.25 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 | 823,077,565 | |
| -1 | 823,077,565 |
If you did it right, you will end up with this table:
| 1 | 5 | 29 | 145 | 457 | 2,285 | 12,421 | 13,253 | 62,105 | 66,265 | 360,209 | 1,801,045 | 5,676,397 | 28,381,985 | 164,615,513 | 823,077,565 |
| -1 | -5 | -29 | -145 | -457 | -2,285 | -12,421 | -13,253 | -62,105 | -66,265 | -360,209 | -1,801,045 | -5,676,397 | -28,381,985 | -164,615,513 | -823,077,565 |
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