A:
Positive:
1 x 3541235117 x 5058907373 x 4851007487 x 727153511 x 6930011423 x 2488573409 x 1038799961 x 35551
Negative:
-1 x -354123511-7 x -50589073-73 x -4851007-487 x -727153-511 x -693001-1423 x -248857-3409 x -103879-9961 x -35551
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 354,123,511, 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 | 354,123,511 | |
| -1 | -354,123,511 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 354,123,511.
Example:
1 x 354,123,511 = 354,123,511
and
-1 x -354,123,511 = 354,123,511
Notice both answers equal 354,123,511
With that explanation out of the way, let's continue. Next, we take the number 354,123,511 and divide it by 2:
354,123,511 ÷ 2 = 177,061,755.5
If the quotient is a whole number, then 2 and 177,061,755.5 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 | 354,123,511 | |
| -1 | -354,123,511 |
Now, we try dividing 354,123,511 by 3:
354,123,511 ÷ 3 = 118,041,170.3333
If the quotient is a whole number, then 3 and 118,041,170.3333 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 | 354,123,511 | |
| -1 | -354,123,511 |
Let's try dividing by 4:
354,123,511 ÷ 4 = 88,530,877.75
If the quotient is a whole number, then 4 and 88,530,877.75 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 | 354,123,511 | |
| -1 | 354,123,511 |
If you did it right, you will end up with this table:
| 1 | 7 | 73 | 487 | 511 | 1,423 | 3,409 | 9,961 | 35,551 | 103,879 | 248,857 | 693,001 | 727,153 | 4,851,007 | 50,589,073 | 354,123,511 |
| -1 | -7 | -73 | -487 | -511 | -1,423 | -3,409 | -9,961 | -35,551 | -103,879 | -248,857 | -693,001 | -727,153 | -4,851,007 | -50,589,073 | -354,123,511 |
Here are some more numbers to try:
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