A:
Positive:
1 x 3553123217 x 5075890313 x 2733171729 x 1225214991 x 3904531203 x 1750307377 x 9424732639 x 134639
Negative:
-1 x -355312321-7 x -50758903-13 x -27331717-29 x -12252149-91 x -3904531-203 x -1750307-377 x -942473-2639 x -134639
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 355,312,321, 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 | 355,312,321 | |
| -1 | -355,312,321 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 355,312,321.
Example:
1 x 355,312,321 = 355,312,321
and
-1 x -355,312,321 = 355,312,321
Notice both answers equal 355,312,321
With that explanation out of the way, let's continue. Next, we take the number 355,312,321 and divide it by 2:
355,312,321 ÷ 2 = 177,656,160.5
If the quotient is a whole number, then 2 and 177,656,160.5 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 | 355,312,321 | |
| -1 | -355,312,321 |
Now, we try dividing 355,312,321 by 3:
355,312,321 ÷ 3 = 118,437,440.3333
If the quotient is a whole number, then 3 and 118,437,440.3333 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 | 355,312,321 | |
| -1 | -355,312,321 |
Let's try dividing by 4:
355,312,321 ÷ 4 = 88,828,080.25
If the quotient is a whole number, then 4 and 88,828,080.25 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 | 355,312,321 | |
| -1 | 355,312,321 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 29 | 91 | 203 | 377 | 2,639 | 134,639 | 942,473 | 1,750,307 | 3,904,531 | 12,252,149 | 27,331,717 | 50,758,903 | 355,312,321 |
| -1 | -7 | -13 | -29 | -91 | -203 | -377 | -2,639 | -134,639 | -942,473 | -1,750,307 | -3,904,531 | -12,252,149 | -27,331,717 | -50,758,903 | -355,312,321 |
Here are some more numbers to try:
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