A:
Positive:
1 x 1055236077 x 1507480117 x 620727149 x 2153543119 x 886753343 x 307649833 x 1266795831 x 18097
Negative:
-1 x -105523607-7 x -15074801-17 x -6207271-49 x -2153543-119 x -886753-343 x -307649-833 x -126679-5831 x -18097
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 105,523,607, 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 | 105,523,607 | |
| -1 | -105,523,607 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 105,523,607.
Example:
1 x 105,523,607 = 105,523,607
and
-1 x -105,523,607 = 105,523,607
Notice both answers equal 105,523,607
With that explanation out of the way, let's continue. Next, we take the number 105,523,607 and divide it by 2:
105,523,607 ÷ 2 = 52,761,803.5
If the quotient is a whole number, then 2 and 52,761,803.5 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 | 105,523,607 | |
| -1 | -105,523,607 |
Now, we try dividing 105,523,607 by 3:
105,523,607 ÷ 3 = 35,174,535.6667
If the quotient is a whole number, then 3 and 35,174,535.6667 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 | 105,523,607 | |
| -1 | -105,523,607 |
Let's try dividing by 4:
105,523,607 ÷ 4 = 26,380,901.75
If the quotient is a whole number, then 4 and 26,380,901.75 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 | 105,523,607 | |
| -1 | 105,523,607 |
If you did it right, you will end up with this table:
| 1 | 7 | 17 | 49 | 119 | 343 | 833 | 5,831 | 18,097 | 126,679 | 307,649 | 886,753 | 2,153,543 | 6,207,271 | 15,074,801 | 105,523,607 |
| -1 | -7 | -17 | -49 | -119 | -343 | -833 | -5,831 | -18,097 | -126,679 | -307,649 | -886,753 | -2,153,543 | -6,207,271 | -15,074,801 | -105,523,607 |
Here are some more numbers to try:
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