A:
Positive:
1 x 4205165655 x 841033137 x 6007379535 x 1201475943 x 9779455215 x 1955891301 x 13970651505 x 279413
Negative:
-1 x -420516565-5 x -84103313-7 x -60073795-35 x -12014759-43 x -9779455-215 x -1955891-301 x -1397065-1505 x -279413
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 420,516,565, 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 | 420,516,565 | |
| -1 | -420,516,565 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 420,516,565.
Example:
1 x 420,516,565 = 420,516,565
and
-1 x -420,516,565 = 420,516,565
Notice both answers equal 420,516,565
With that explanation out of the way, let's continue. Next, we take the number 420,516,565 and divide it by 2:
420,516,565 ÷ 2 = 210,258,282.5
If the quotient is a whole number, then 2 and 210,258,282.5 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 | 420,516,565 | |
| -1 | -420,516,565 |
Now, we try dividing 420,516,565 by 3:
420,516,565 ÷ 3 = 140,172,188.3333
If the quotient is a whole number, then 3 and 140,172,188.3333 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 | 420,516,565 | |
| -1 | -420,516,565 |
Let's try dividing by 4:
420,516,565 ÷ 4 = 105,129,141.25
If the quotient is a whole number, then 4 and 105,129,141.25 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 | 420,516,565 | |
| -1 | 420,516,565 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 35 | 43 | 215 | 301 | 1,505 | 279,413 | 1,397,065 | 1,955,891 | 9,779,455 | 12,014,759 | 60,073,795 | 84,103,313 | 420,516,565 |
| -1 | -5 | -7 | -35 | -43 | -215 | -301 | -1,505 | -279,413 | -1,397,065 | -1,955,891 | -9,779,455 | -12,014,759 | -60,073,795 | -84,103,313 | -420,516,565 |
Here are some more numbers to try:
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