A:
Positive:
1 x 10513453741 x 256425761 x 1723517127 x 827831331 x 3176272501 x 420375207 x 201917747 x 13571
Negative:
-1 x -105134537-41 x -2564257-61 x -1723517-127 x -827831-331 x -317627-2501 x -42037-5207 x -20191-7747 x -13571
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 105,134,537, 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 | 105,134,537 | |
| -1 | -105,134,537 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 105,134,537.
Example:
1 x 105,134,537 = 105,134,537
and
-1 x -105,134,537 = 105,134,537
Notice both answers equal 105,134,537
With that explanation out of the way, let's continue. Next, we take the number 105,134,537 and divide it by 2:
105,134,537 ÷ 2 = 52,567,268.5
If the quotient is a whole number, then 2 and 52,567,268.5 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 | 105,134,537 | |
| -1 | -105,134,537 |
Now, we try dividing 105,134,537 by 3:
105,134,537 ÷ 3 = 35,044,845.6667
If the quotient is a whole number, then 3 and 35,044,845.6667 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 | 105,134,537 | |
| -1 | -105,134,537 |
Let's try dividing by 4:
105,134,537 ÷ 4 = 26,283,634.25
If the quotient is a whole number, then 4 and 26,283,634.25 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 | 105,134,537 | |
| -1 | 105,134,537 |
If you did it right, you will end up with this table:
| 1 | 41 | 61 | 127 | 331 | 2,501 | 5,207 | 7,747 | 13,571 | 20,191 | 42,037 | 317,627 | 827,831 | 1,723,517 | 2,564,257 | 105,134,537 |
| -1 | -41 | -61 | -127 | -331 | -2,501 | -5,207 | -7,747 | -13,571 | -20,191 | -42,037 | -317,627 | -827,831 | -1,723,517 | -2,564,257 | -105,134,537 |
Here are some more numbers to try:
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