A:
Positive:
1 x 10505141911 x 955012923 x 4567453253 x 415223277 x 3792471499 x 700813047 x 344776371 x 16489
Negative:
-1 x -105051419-11 x -9550129-23 x -4567453-253 x -415223-277 x -379247-1499 x -70081-3047 x -34477-6371 x -16489
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 105,051,419, 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 | 105,051,419 | |
| -1 | -105,051,419 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 105,051,419.
Example:
1 x 105,051,419 = 105,051,419
and
-1 x -105,051,419 = 105,051,419
Notice both answers equal 105,051,419
With that explanation out of the way, let's continue. Next, we take the number 105,051,419 and divide it by 2:
105,051,419 ÷ 2 = 52,525,709.5
If the quotient is a whole number, then 2 and 52,525,709.5 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 | 105,051,419 | |
| -1 | -105,051,419 |
Now, we try dividing 105,051,419 by 3:
105,051,419 ÷ 3 = 35,017,139.6667
If the quotient is a whole number, then 3 and 35,017,139.6667 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 | 105,051,419 | |
| -1 | -105,051,419 |
Let's try dividing by 4:
105,051,419 ÷ 4 = 26,262,854.75
If the quotient is a whole number, then 4 and 26,262,854.75 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 | 105,051,419 | |
| -1 | 105,051,419 |
If you did it right, you will end up with this table:
| 1 | 11 | 23 | 253 | 277 | 1,499 | 3,047 | 6,371 | 16,489 | 34,477 | 70,081 | 379,247 | 415,223 | 4,567,453 | 9,550,129 | 105,051,419 |
| -1 | -11 | -23 | -253 | -277 | -1,499 | -3,047 | -6,371 | -16,489 | -34,477 | -70,081 | -379,247 | -415,223 | -4,567,453 | -9,550,129 | -105,051,419 |
Here are some more numbers to try:
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