A:
Positive:
1 x 3144213355 x 6288426729 x 10842115145 x 2168423191 x 1646185955 x 3292375539 x 5676511353 x 27695
Negative:
-1 x -314421335-5 x -62884267-29 x -10842115-145 x -2168423-191 x -1646185-955 x -329237-5539 x -56765-11353 x -27695
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 314,421,335, 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 | 314,421,335 | |
| -1 | -314,421,335 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 314,421,335.
Example:
1 x 314,421,335 = 314,421,335
and
-1 x -314,421,335 = 314,421,335
Notice both answers equal 314,421,335
With that explanation out of the way, let's continue. Next, we take the number 314,421,335 and divide it by 2:
314,421,335 ÷ 2 = 157,210,667.5
If the quotient is a whole number, then 2 and 157,210,667.5 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 | 314,421,335 | |
| -1 | -314,421,335 |
Now, we try dividing 314,421,335 by 3:
314,421,335 ÷ 3 = 104,807,111.6667
If the quotient is a whole number, then 3 and 104,807,111.6667 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 | 314,421,335 | |
| -1 | -314,421,335 |
Let's try dividing by 4:
314,421,335 ÷ 4 = 78,605,333.75
If the quotient is a whole number, then 4 and 78,605,333.75 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 | 314,421,335 | |
| -1 | 314,421,335 |
If you did it right, you will end up with this table:
| 1 | 5 | 29 | 145 | 191 | 955 | 5,539 | 11,353 | 27,695 | 56,765 | 329,237 | 1,646,185 | 2,168,423 | 10,842,115 | 62,884,267 | 314,421,335 |
| -1 | -5 | -29 | -145 | -191 | -955 | -5,539 | -11,353 | -27,695 | -56,765 | -329,237 | -1,646,185 | -2,168,423 | -10,842,115 | -62,884,267 | -314,421,335 |
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