A:
Positive:
1 x 435381355 x 870762729 x 1501315145 x 300263283 x 1538451061 x 410351415 x 307695305 x 8207
Negative:
-1 x -43538135-5 x -8707627-29 x -1501315-145 x -300263-283 x -153845-1061 x -41035-1415 x -30769-5305 x -8207
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 43,538,135, 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 | 43,538,135 | |
| -1 | -43,538,135 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 43,538,135.
Example:
1 x 43,538,135 = 43,538,135
and
-1 x -43,538,135 = 43,538,135
Notice both answers equal 43,538,135
With that explanation out of the way, let's continue. Next, we take the number 43,538,135 and divide it by 2:
43,538,135 ÷ 2 = 21,769,067.5
If the quotient is a whole number, then 2 and 21,769,067.5 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 | 43,538,135 | |
| -1 | -43,538,135 |
Now, we try dividing 43,538,135 by 3:
43,538,135 ÷ 3 = 14,512,711.6667
If the quotient is a whole number, then 3 and 14,512,711.6667 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 | 43,538,135 | |
| -1 | -43,538,135 |
Let's try dividing by 4:
43,538,135 ÷ 4 = 10,884,533.75
If the quotient is a whole number, then 4 and 10,884,533.75 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 | 43,538,135 | |
| -1 | 43,538,135 |
If you did it right, you will end up with this table:
| 1 | 5 | 29 | 145 | 283 | 1,061 | 1,415 | 5,305 | 8,207 | 30,769 | 41,035 | 153,845 | 300,263 | 1,501,315 | 8,707,627 | 43,538,135 |
| -1 | -5 | -29 | -145 | -283 | -1,061 | -1,415 | -5,305 | -8,207 | -30,769 | -41,035 | -153,845 | -300,263 | -1,501,315 | -8,707,627 | -43,538,135 |
Here are some more numbers to try:
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