A:
Positive:
1 x 4665658697 x 6665226711 x 4241507977 x 6059297127 x 3673747889 x 5248211397 x 3339779779 x 47711
Negative:
-1 x -466565869-7 x -66652267-11 x -42415079-77 x -6059297-127 x -3673747-889 x -524821-1397 x -333977-9779 x -47711
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 466,565,869, 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 | 466,565,869 | |
| -1 | -466,565,869 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 466,565,869.
Example:
1 x 466,565,869 = 466,565,869
and
-1 x -466,565,869 = 466,565,869
Notice both answers equal 466,565,869
With that explanation out of the way, let's continue. Next, we take the number 466,565,869 and divide it by 2:
466,565,869 ÷ 2 = 233,282,934.5
If the quotient is a whole number, then 2 and 233,282,934.5 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 | 466,565,869 | |
| -1 | -466,565,869 |
Now, we try dividing 466,565,869 by 3:
466,565,869 ÷ 3 = 155,521,956.3333
If the quotient is a whole number, then 3 and 155,521,956.3333 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 | 466,565,869 | |
| -1 | -466,565,869 |
Let's try dividing by 4:
466,565,869 ÷ 4 = 116,641,467.25
If the quotient is a whole number, then 4 and 116,641,467.25 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 | 466,565,869 | |
| -1 | 466,565,869 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 77 | 127 | 889 | 1,397 | 9,779 | 47,711 | 333,977 | 524,821 | 3,673,747 | 6,059,297 | 42,415,079 | 66,652,267 | 466,565,869 |
| -1 | -7 | -11 | -77 | -127 | -889 | -1,397 | -9,779 | -47,711 | -333,977 | -524,821 | -3,673,747 | -6,059,297 | -42,415,079 | -66,652,267 | -466,565,869 |
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