A:
Positive:
1 x 1055627097 x 1508038723 x 458968349 x 2154341161 x 655669343 x 3077631127 x 936677889 x 13381
Negative:
-1 x -105562709-7 x -15080387-23 x -4589683-49 x -2154341-161 x -655669-343 x -307763-1127 x -93667-7889 x -13381
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 105,562,709, 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 | 105,562,709 | |
| -1 | -105,562,709 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 105,562,709.
Example:
1 x 105,562,709 = 105,562,709
and
-1 x -105,562,709 = 105,562,709
Notice both answers equal 105,562,709
With that explanation out of the way, let's continue. Next, we take the number 105,562,709 and divide it by 2:
105,562,709 ÷ 2 = 52,781,354.5
If the quotient is a whole number, then 2 and 52,781,354.5 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 | 105,562,709 | |
| -1 | -105,562,709 |
Now, we try dividing 105,562,709 by 3:
105,562,709 ÷ 3 = 35,187,569.6667
If the quotient is a whole number, then 3 and 35,187,569.6667 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 | 105,562,709 | |
| -1 | -105,562,709 |
Let's try dividing by 4:
105,562,709 ÷ 4 = 26,390,677.25
If the quotient is a whole number, then 4 and 26,390,677.25 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 | 105,562,709 | |
| -1 | 105,562,709 |
If you did it right, you will end up with this table:
| 1 | 7 | 23 | 49 | 161 | 343 | 1,127 | 7,889 | 13,381 | 93,667 | 307,763 | 655,669 | 2,154,341 | 4,589,683 | 15,080,387 | 105,562,709 |
| -1 | -7 | -23 | -49 | -161 | -343 | -1,127 | -7,889 | -13,381 | -93,667 | -307,763 | -655,669 | -2,154,341 | -4,589,683 | -15,080,387 | -105,562,709 |
Here are some more numbers to try:
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