A:
Positive:
1 x 34013340723 x 1478840947 x 723688159 x 57649731081 x 3146471357 x 2506512773 x 1226595333 x 63779
Negative:
-1 x -340133407-23 x -14788409-47 x -7236881-59 x -5764973-1081 x -314647-1357 x -250651-2773 x -122659-5333 x -63779
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 340,133,407, 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 | 340,133,407 | |
| -1 | -340,133,407 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 340,133,407.
Example:
1 x 340,133,407 = 340,133,407
and
-1 x -340,133,407 = 340,133,407
Notice both answers equal 340,133,407
With that explanation out of the way, let's continue. Next, we take the number 340,133,407 and divide it by 2:
340,133,407 ÷ 2 = 170,066,703.5
If the quotient is a whole number, then 2 and 170,066,703.5 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 | 340,133,407 | |
| -1 | -340,133,407 |
Now, we try dividing 340,133,407 by 3:
340,133,407 ÷ 3 = 113,377,802.3333
If the quotient is a whole number, then 3 and 113,377,802.3333 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 | 340,133,407 | |
| -1 | -340,133,407 |
Let's try dividing by 4:
340,133,407 ÷ 4 = 85,033,351.75
If the quotient is a whole number, then 4 and 85,033,351.75 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 | 340,133,407 | |
| -1 | 340,133,407 |
If you did it right, you will end up with this table:
| 1 | 23 | 47 | 59 | 1,081 | 1,357 | 2,773 | 5,333 | 63,779 | 122,659 | 250,651 | 314,647 | 5,764,973 | 7,236,881 | 14,788,409 | 340,133,407 |
| -1 | -23 | -47 | -59 | -1,081 | -1,357 | -2,773 | -5,333 | -63,779 | -122,659 | -250,651 | -314,647 | -5,764,973 | -7,236,881 | -14,788,409 | -340,133,407 |
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