A:
Positive:
1 x 35027831917 x 2060460719 x 18435701127 x 2758097323 x 10844532159 x 1622412413 x 1451638539 x 41021
Negative:
-1 x -350278319-17 x -20604607-19 x -18435701-127 x -2758097-323 x -1084453-2159 x -162241-2413 x -145163-8539 x -41021
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 350,278,319, 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 | 350,278,319 | |
| -1 | -350,278,319 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 350,278,319.
Example:
1 x 350,278,319 = 350,278,319
and
-1 x -350,278,319 = 350,278,319
Notice both answers equal 350,278,319
With that explanation out of the way, let's continue. Next, we take the number 350,278,319 and divide it by 2:
350,278,319 ÷ 2 = 175,139,159.5
If the quotient is a whole number, then 2 and 175,139,159.5 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 | 350,278,319 | |
| -1 | -350,278,319 |
Now, we try dividing 350,278,319 by 3:
350,278,319 ÷ 3 = 116,759,439.6667
If the quotient is a whole number, then 3 and 116,759,439.6667 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 | 350,278,319 | |
| -1 | -350,278,319 |
Let's try dividing by 4:
350,278,319 ÷ 4 = 87,569,579.75
If the quotient is a whole number, then 4 and 87,569,579.75 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 | 350,278,319 | |
| -1 | 350,278,319 |
If you did it right, you will end up with this table:
| 1 | 17 | 19 | 127 | 323 | 2,159 | 2,413 | 8,539 | 41,021 | 145,163 | 162,241 | 1,084,453 | 2,758,097 | 18,435,701 | 20,604,607 | 350,278,319 |
| -1 | -17 | -19 | -127 | -323 | -2,159 | -2,413 | -8,539 | -41,021 | -145,163 | -162,241 | -1,084,453 | -2,758,097 | -18,435,701 | -20,604,607 | -350,278,319 |
Here are some more numbers to try:
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