A:
Positive:
1 x 4602283077 x 6574690111 x 4183893777 x 5976991359 x 12819732513 x 1831393949 x 11654316649 x 27643
Negative:
-1 x -460228307-7 x -65746901-11 x -41838937-77 x -5976991-359 x -1281973-2513 x -183139-3949 x -116543-16649 x -27643
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 460,228,307, 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 | 460,228,307 | |
| -1 | -460,228,307 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 460,228,307.
Example:
1 x 460,228,307 = 460,228,307
and
-1 x -460,228,307 = 460,228,307
Notice both answers equal 460,228,307
With that explanation out of the way, let's continue. Next, we take the number 460,228,307 and divide it by 2:
460,228,307 ÷ 2 = 230,114,153.5
If the quotient is a whole number, then 2 and 230,114,153.5 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 | 460,228,307 | |
| -1 | -460,228,307 |
Now, we try dividing 460,228,307 by 3:
460,228,307 ÷ 3 = 153,409,435.6667
If the quotient is a whole number, then 3 and 153,409,435.6667 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 | 460,228,307 | |
| -1 | -460,228,307 |
Let's try dividing by 4:
460,228,307 ÷ 4 = 115,057,076.75
If the quotient is a whole number, then 4 and 115,057,076.75 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 | 460,228,307 | |
| -1 | 460,228,307 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 77 | 359 | 2,513 | 3,949 | 16,649 | 27,643 | 116,543 | 183,139 | 1,281,973 | 5,976,991 | 41,838,937 | 65,746,901 | 460,228,307 |
| -1 | -7 | -11 | -77 | -359 | -2,513 | -3,949 | -16,649 | -27,643 | -116,543 | -183,139 | -1,281,973 | -5,976,991 | -41,838,937 | -65,746,901 | -460,228,307 |
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