A:
Positive:
1 x 10600542711 x 963685719 x 5579233209 x 507203491 x 2158971033 x 1026195401 x 196279329 x 11363
Negative:
-1 x -106005427-11 x -9636857-19 x -5579233-209 x -507203-491 x -215897-1033 x -102619-5401 x -19627-9329 x -11363
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 106,005,427, 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 | 106,005,427 | |
| -1 | -106,005,427 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 106,005,427.
Example:
1 x 106,005,427 = 106,005,427
and
-1 x -106,005,427 = 106,005,427
Notice both answers equal 106,005,427
With that explanation out of the way, let's continue. Next, we take the number 106,005,427 and divide it by 2:
106,005,427 ÷ 2 = 53,002,713.5
If the quotient is a whole number, then 2 and 53,002,713.5 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 | 106,005,427 | |
| -1 | -106,005,427 |
Now, we try dividing 106,005,427 by 3:
106,005,427 ÷ 3 = 35,335,142.3333
If the quotient is a whole number, then 3 and 35,335,142.3333 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 | 106,005,427 | |
| -1 | -106,005,427 |
Let's try dividing by 4:
106,005,427 ÷ 4 = 26,501,356.75
If the quotient is a whole number, then 4 and 26,501,356.75 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 | 106,005,427 | |
| -1 | 106,005,427 |
If you did it right, you will end up with this table:
| 1 | 11 | 19 | 209 | 491 | 1,033 | 5,401 | 9,329 | 11,363 | 19,627 | 102,619 | 215,897 | 507,203 | 5,579,233 | 9,636,857 | 106,005,427 |
| -1 | -11 | -19 | -209 | -491 | -1,033 | -5,401 | -9,329 | -11,363 | -19,627 | -102,619 | -215,897 | -507,203 | -5,579,233 | -9,636,857 | -106,005,427 |
Here are some more numbers to try:
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