A:
Positive:
1 x 31411366931 x 1013269941 x 766130953 x 59266731271 x 2471391643 x 1911832173 x 1445534663 x 67363
Negative:
-1 x -314113669-31 x -10132699-41 x -7661309-53 x -5926673-1271 x -247139-1643 x -191183-2173 x -144553-4663 x -67363
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 314,113,669, 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 | 314,113,669 | |
| -1 | -314,113,669 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 314,113,669.
Example:
1 x 314,113,669 = 314,113,669
and
-1 x -314,113,669 = 314,113,669
Notice both answers equal 314,113,669
With that explanation out of the way, let's continue. Next, we take the number 314,113,669 and divide it by 2:
314,113,669 ÷ 2 = 157,056,834.5
If the quotient is a whole number, then 2 and 157,056,834.5 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 | 314,113,669 | |
| -1 | -314,113,669 |
Now, we try dividing 314,113,669 by 3:
314,113,669 ÷ 3 = 104,704,556.3333
If the quotient is a whole number, then 3 and 104,704,556.3333 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 | 314,113,669 | |
| -1 | -314,113,669 |
Let's try dividing by 4:
314,113,669 ÷ 4 = 78,528,417.25
If the quotient is a whole number, then 4 and 78,528,417.25 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 | 314,113,669 | |
| -1 | 314,113,669 |
If you did it right, you will end up with this table:
| 1 | 31 | 41 | 53 | 1,271 | 1,643 | 2,173 | 4,663 | 67,363 | 144,553 | 191,183 | 247,139 | 5,926,673 | 7,661,309 | 10,132,699 | 314,113,669 |
| -1 | -31 | -41 | -53 | -1,271 | -1,643 | -2,173 | -4,663 | -67,363 | -144,553 | -191,183 | -247,139 | -5,926,673 | -7,661,309 | -10,132,699 | -314,113,669 |
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