A:
Positive:
1 x 31400320913 x 2415409317 x 18470777221 x 1420829419 x 7494113391 x 925995447 x 576477123 x 44083
Negative:
-1 x -314003209-13 x -24154093-17 x -18470777-221 x -1420829-419 x -749411-3391 x -92599-5447 x -57647-7123 x -44083
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 314,003,209, 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 | 314,003,209 | |
| -1 | -314,003,209 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 314,003,209.
Example:
1 x 314,003,209 = 314,003,209
and
-1 x -314,003,209 = 314,003,209
Notice both answers equal 314,003,209
With that explanation out of the way, let's continue. Next, we take the number 314,003,209 and divide it by 2:
314,003,209 ÷ 2 = 157,001,604.5
If the quotient is a whole number, then 2 and 157,001,604.5 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 | 314,003,209 | |
| -1 | -314,003,209 |
Now, we try dividing 314,003,209 by 3:
314,003,209 ÷ 3 = 104,667,736.3333
If the quotient is a whole number, then 3 and 104,667,736.3333 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 | 314,003,209 | |
| -1 | -314,003,209 |
Let's try dividing by 4:
314,003,209 ÷ 4 = 78,500,802.25
If the quotient is a whole number, then 4 and 78,500,802.25 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 | 314,003,209 | |
| -1 | 314,003,209 |
If you did it right, you will end up with this table:
| 1 | 13 | 17 | 221 | 419 | 3,391 | 5,447 | 7,123 | 44,083 | 57,647 | 92,599 | 749,411 | 1,420,829 | 18,470,777 | 24,154,093 | 314,003,209 |
| -1 | -13 | -17 | -221 | -419 | -3,391 | -5,447 | -7,123 | -44,083 | -57,647 | -92,599 | -749,411 | -1,420,829 | -18,470,777 | -24,154,093 | -314,003,209 |
Here are some more numbers to try:
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