A:
Positive:
1 x 35478416917 x 2086965719 x 1867285159 x 6013291323 x 10984031003 x 3537231121 x 31648918617 x 19057
Negative:
-1 x -354784169-17 x -20869657-19 x -18672851-59 x -6013291-323 x -1098403-1003 x -353723-1121 x -316489-18617 x -19057
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 354,784,169, 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 | 354,784,169 | |
| -1 | -354,784,169 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 354,784,169.
Example:
1 x 354,784,169 = 354,784,169
and
-1 x -354,784,169 = 354,784,169
Notice both answers equal 354,784,169
With that explanation out of the way, let's continue. Next, we take the number 354,784,169 and divide it by 2:
354,784,169 ÷ 2 = 177,392,084.5
If the quotient is a whole number, then 2 and 177,392,084.5 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 | 354,784,169 | |
| -1 | -354,784,169 |
Now, we try dividing 354,784,169 by 3:
354,784,169 ÷ 3 = 118,261,389.6667
If the quotient is a whole number, then 3 and 118,261,389.6667 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 | 354,784,169 | |
| -1 | -354,784,169 |
Let's try dividing by 4:
354,784,169 ÷ 4 = 88,696,042.25
If the quotient is a whole number, then 4 and 88,696,042.25 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 | 354,784,169 | |
| -1 | 354,784,169 |
If you did it right, you will end up with this table:
| 1 | 17 | 19 | 59 | 323 | 1,003 | 1,121 | 18,617 | 19,057 | 316,489 | 353,723 | 1,098,403 | 6,013,291 | 18,672,851 | 20,869,657 | 354,784,169 |
| -1 | -17 | -19 | -59 | -323 | -1,003 | -1,121 | -18,617 | -19,057 | -316,489 | -353,723 | -1,098,403 | -6,013,291 | -18,672,851 | -20,869,657 | -354,784,169 |
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