A:
Positive:
1 x 4664355655 x 9328711329 x 1608398571 x 6569515145 x 3216797355 x 13139032059 x 22653510295 x 45307
Negative:
-1 x -466435565-5 x -93287113-29 x -16083985-71 x -6569515-145 x -3216797-355 x -1313903-2059 x -226535-10295 x -45307
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 466,435,565, 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 | 466,435,565 | |
| -1 | -466,435,565 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 466,435,565.
Example:
1 x 466,435,565 = 466,435,565
and
-1 x -466,435,565 = 466,435,565
Notice both answers equal 466,435,565
With that explanation out of the way, let's continue. Next, we take the number 466,435,565 and divide it by 2:
466,435,565 ÷ 2 = 233,217,782.5
If the quotient is a whole number, then 2 and 233,217,782.5 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 | 466,435,565 | |
| -1 | -466,435,565 |
Now, we try dividing 466,435,565 by 3:
466,435,565 ÷ 3 = 155,478,521.6667
If the quotient is a whole number, then 3 and 155,478,521.6667 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 | 466,435,565 | |
| -1 | -466,435,565 |
Let's try dividing by 4:
466,435,565 ÷ 4 = 116,608,891.25
If the quotient is a whole number, then 4 and 116,608,891.25 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 | 466,435,565 | |
| -1 | 466,435,565 |
If you did it right, you will end up with this table:
| 1 | 5 | 29 | 71 | 145 | 355 | 2,059 | 10,295 | 45,307 | 226,535 | 1,313,903 | 3,216,797 | 6,569,515 | 16,083,985 | 93,287,113 | 466,435,565 |
| -1 | -5 | -29 | -71 | -145 | -355 | -2,059 | -10,295 | -45,307 | -226,535 | -1,313,903 | -3,216,797 | -6,569,515 | -16,083,985 | -93,287,113 | -466,435,565 |
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