A:
Positive:
1 x 3141135355 x 6282270737 x 8489555101 x 3110035185 x 1697911505 x 6220073737 x 8405516811 x 18685
Negative:
-1 x -314113535-5 x -62822707-37 x -8489555-101 x -3110035-185 x -1697911-505 x -622007-3737 x -84055-16811 x -18685
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 314,113,535, 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 | 314,113,535 | |
| -1 | -314,113,535 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 314,113,535.
Example:
1 x 314,113,535 = 314,113,535
and
-1 x -314,113,535 = 314,113,535
Notice both answers equal 314,113,535
With that explanation out of the way, let's continue. Next, we take the number 314,113,535 and divide it by 2:
314,113,535 ÷ 2 = 157,056,767.5
If the quotient is a whole number, then 2 and 157,056,767.5 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 | 314,113,535 | |
| -1 | -314,113,535 |
Now, we try dividing 314,113,535 by 3:
314,113,535 ÷ 3 = 104,704,511.6667
If the quotient is a whole number, then 3 and 104,704,511.6667 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 | 314,113,535 | |
| -1 | -314,113,535 |
Let's try dividing by 4:
314,113,535 ÷ 4 = 78,528,383.75
If the quotient is a whole number, then 4 and 78,528,383.75 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 | 314,113,535 | |
| -1 | 314,113,535 |
If you did it right, you will end up with this table:
| 1 | 5 | 37 | 101 | 185 | 505 | 3,737 | 16,811 | 18,685 | 84,055 | 622,007 | 1,697,911 | 3,110,035 | 8,489,555 | 62,822,707 | 314,113,535 |
| -1 | -5 | -37 | -101 | -185 | -505 | -3,737 | -16,811 | -18,685 | -84,055 | -622,007 | -1,697,911 | -3,110,035 | -8,489,555 | -62,822,707 | -314,113,535 |
Here are some more numbers to try:
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