A:
Positive:
1 x 4211007355 x 8422014711 x 3828188529 x 1452071555 x 7656377145 x 2904143319 x 13200651595 x 264013
Negative:
-1 x -421100735-5 x -84220147-11 x -38281885-29 x -14520715-55 x -7656377-145 x -2904143-319 x -1320065-1595 x -264013
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 421,100,735, 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 | 421,100,735 | |
| -1 | -421,100,735 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 421,100,735.
Example:
1 x 421,100,735 = 421,100,735
and
-1 x -421,100,735 = 421,100,735
Notice both answers equal 421,100,735
With that explanation out of the way, let's continue. Next, we take the number 421,100,735 and divide it by 2:
421,100,735 ÷ 2 = 210,550,367.5
If the quotient is a whole number, then 2 and 210,550,367.5 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 | 421,100,735 | |
| -1 | -421,100,735 |
Now, we try dividing 421,100,735 by 3:
421,100,735 ÷ 3 = 140,366,911.6667
If the quotient is a whole number, then 3 and 140,366,911.6667 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 | 421,100,735 | |
| -1 | -421,100,735 |
Let's try dividing by 4:
421,100,735 ÷ 4 = 105,275,183.75
If the quotient is a whole number, then 4 and 105,275,183.75 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 | 421,100,735 | |
| -1 | 421,100,735 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 29 | 55 | 145 | 319 | 1,595 | 264,013 | 1,320,065 | 2,904,143 | 7,656,377 | 14,520,715 | 38,281,885 | 84,220,147 | 421,100,735 |
| -1 | -5 | -11 | -29 | -55 | -145 | -319 | -1,595 | -264,013 | -1,320,065 | -2,904,143 | -7,656,377 | -14,520,715 | -38,281,885 | -84,220,147 | -421,100,735 |
Here are some more numbers to try:
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