A:
Positive:
1 x 1053532155 x 2107064311 x 957756555 x 191551379 x 1333585395 x 266717869 x 1212354345 x 24247
Negative:
-1 x -105353215-5 x -21070643-11 x -9577565-55 x -1915513-79 x -1333585-395 x -266717-869 x -121235-4345 x -24247
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 105,353,215, 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 | 105,353,215 | |
| -1 | -105,353,215 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 105,353,215.
Example:
1 x 105,353,215 = 105,353,215
and
-1 x -105,353,215 = 105,353,215
Notice both answers equal 105,353,215
With that explanation out of the way, let's continue. Next, we take the number 105,353,215 and divide it by 2:
105,353,215 ÷ 2 = 52,676,607.5
If the quotient is a whole number, then 2 and 52,676,607.5 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 | 105,353,215 | |
| -1 | -105,353,215 |
Now, we try dividing 105,353,215 by 3:
105,353,215 ÷ 3 = 35,117,738.3333
If the quotient is a whole number, then 3 and 35,117,738.3333 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 | 105,353,215 | |
| -1 | -105,353,215 |
Let's try dividing by 4:
105,353,215 ÷ 4 = 26,338,303.75
If the quotient is a whole number, then 4 and 26,338,303.75 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 | 105,353,215 | |
| -1 | 105,353,215 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 55 | 79 | 395 | 869 | 4,345 | 24,247 | 121,235 | 266,717 | 1,333,585 | 1,915,513 | 9,577,565 | 21,070,643 | 105,353,215 |
| -1 | -5 | -11 | -55 | -79 | -395 | -869 | -4,345 | -24,247 | -121,235 | -266,717 | -1,333,585 | -1,915,513 | -9,577,565 | -21,070,643 | -105,353,215 |
Here are some more numbers to try:
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