A:
Positive:
1 x 1055232255 x 2110464525 x 422092931 x 340397547 x 2245175155 x 680795235 x 449035775 x 1361591175 x 898071457 x 724252897 x 364257285 x 14485
Negative:
-1 x -105523225-5 x -21104645-25 x -4220929-31 x -3403975-47 x -2245175-155 x -680795-235 x -449035-775 x -136159-1175 x -89807-1457 x -72425-2897 x -36425-7285 x -14485
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 105,523,225, 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 | 105,523,225 | |
| -1 | -105,523,225 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 105,523,225.
Example:
1 x 105,523,225 = 105,523,225
and
-1 x -105,523,225 = 105,523,225
Notice both answers equal 105,523,225
With that explanation out of the way, let's continue. Next, we take the number 105,523,225 and divide it by 2:
105,523,225 ÷ 2 = 52,761,612.5
If the quotient is a whole number, then 2 and 52,761,612.5 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 | 105,523,225 | |
| -1 | -105,523,225 |
Now, we try dividing 105,523,225 by 3:
105,523,225 ÷ 3 = 35,174,408.3333
If the quotient is a whole number, then 3 and 35,174,408.3333 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 | 105,523,225 | |
| -1 | -105,523,225 |
Let's try dividing by 4:
105,523,225 ÷ 4 = 26,380,806.25
If the quotient is a whole number, then 4 and 26,380,806.25 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 | 105,523,225 | |
| -1 | 105,523,225 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 31 | 47 | 155 | 235 | 775 | 1,175 | 1,457 | 2,897 | 7,285 | 14,485 | 36,425 | 72,425 | 89,807 | 136,159 | 449,035 | 680,795 | 2,245,175 | 3,403,975 | 4,220,929 | 21,104,645 | 105,523,225 |
| -1 | -5 | -25 | -31 | -47 | -155 | -235 | -775 | -1,175 | -1,457 | -2,897 | -7,285 | -14,485 | -36,425 | -72,425 | -89,807 | -136,159 | -449,035 | -680,795 | -2,245,175 | -3,403,975 | -4,220,929 | -21,104,645 | -105,523,225 |
Here are some more numbers to try:
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