A:
Positive:
1 x 4657720137 x 6653885941 x 1136029383 x 5611711287 x 1622899581 x 8016733403 x 13687119553 x 23821
Negative:
-1 x -465772013-7 x -66538859-41 x -11360293-83 x -5611711-287 x -1622899-581 x -801673-3403 x -136871-19553 x -23821
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 465,772,013, 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 | 465,772,013 | |
| -1 | -465,772,013 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 465,772,013.
Example:
1 x 465,772,013 = 465,772,013
and
-1 x -465,772,013 = 465,772,013
Notice both answers equal 465,772,013
With that explanation out of the way, let's continue. Next, we take the number 465,772,013 and divide it by 2:
465,772,013 ÷ 2 = 232,886,006.5
If the quotient is a whole number, then 2 and 232,886,006.5 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 | 465,772,013 | |
| -1 | -465,772,013 |
Now, we try dividing 465,772,013 by 3:
465,772,013 ÷ 3 = 155,257,337.6667
If the quotient is a whole number, then 3 and 155,257,337.6667 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 | 465,772,013 | |
| -1 | -465,772,013 |
Let's try dividing by 4:
465,772,013 ÷ 4 = 116,443,003.25
If the quotient is a whole number, then 4 and 116,443,003.25 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 | 465,772,013 | |
| -1 | 465,772,013 |
If you did it right, you will end up with this table:
| 1 | 7 | 41 | 83 | 287 | 581 | 3,403 | 19,553 | 23,821 | 136,871 | 801,673 | 1,622,899 | 5,611,711 | 11,360,293 | 66,538,859 | 465,772,013 |
| -1 | -7 | -41 | -83 | -287 | -581 | -3,403 | -19,553 | -23,821 | -136,871 | -801,673 | -1,622,899 | -5,611,711 | -11,360,293 | -66,538,859 | -465,772,013 |
Here are some more numbers to try:
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