A:
Positive:
1 x 3461061655 x 6922123331 x 1116471553 x 6530305155 x 2232943265 x 13060611643 x 2106558215 x 42131
Negative:
-1 x -346106165-5 x -69221233-31 x -11164715-53 x -6530305-155 x -2232943-265 x -1306061-1643 x -210655-8215 x -42131
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 346,106,165, 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 | 346,106,165 | |
| -1 | -346,106,165 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 346,106,165.
Example:
1 x 346,106,165 = 346,106,165
and
-1 x -346,106,165 = 346,106,165
Notice both answers equal 346,106,165
With that explanation out of the way, let's continue. Next, we take the number 346,106,165 and divide it by 2:
346,106,165 ÷ 2 = 173,053,082.5
If the quotient is a whole number, then 2 and 173,053,082.5 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 | 346,106,165 | |
| -1 | -346,106,165 |
Now, we try dividing 346,106,165 by 3:
346,106,165 ÷ 3 = 115,368,721.6667
If the quotient is a whole number, then 3 and 115,368,721.6667 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 | 346,106,165 | |
| -1 | -346,106,165 |
Let's try dividing by 4:
346,106,165 ÷ 4 = 86,526,541.25
If the quotient is a whole number, then 4 and 86,526,541.25 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 | 346,106,165 | |
| -1 | 346,106,165 |
If you did it right, you will end up with this table:
| 1 | 5 | 31 | 53 | 155 | 265 | 1,643 | 8,215 | 42,131 | 210,655 | 1,306,061 | 2,232,943 | 6,530,305 | 11,164,715 | 69,221,233 | 346,106,165 |
| -1 | -5 | -31 | -53 | -155 | -265 | -1,643 | -8,215 | -42,131 | -210,655 | -1,306,061 | -2,232,943 | -6,530,305 | -11,164,715 | -69,221,233 | -346,106,165 |
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