A:
Positive:
1 x 1266016437 x 1808594949 x 258370783 x 1525321343 x 369101581 x 2179034067 x 311294447 x 28469
Negative:
-1 x -126601643-7 x -18085949-49 x -2583707-83 x -1525321-343 x -369101-581 x -217903-4067 x -31129-4447 x -28469
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 126,601,643, 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 | 126,601,643 | |
| -1 | -126,601,643 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 126,601,643.
Example:
1 x 126,601,643 = 126,601,643
and
-1 x -126,601,643 = 126,601,643
Notice both answers equal 126,601,643
With that explanation out of the way, let's continue. Next, we take the number 126,601,643 and divide it by 2:
126,601,643 ÷ 2 = 63,300,821.5
If the quotient is a whole number, then 2 and 63,300,821.5 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 | 126,601,643 | |
| -1 | -126,601,643 |
Now, we try dividing 126,601,643 by 3:
126,601,643 ÷ 3 = 42,200,547.6667
If the quotient is a whole number, then 3 and 42,200,547.6667 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 | 126,601,643 | |
| -1 | -126,601,643 |
Let's try dividing by 4:
126,601,643 ÷ 4 = 31,650,410.75
If the quotient is a whole number, then 4 and 31,650,410.75 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 | 126,601,643 | |
| -1 | 126,601,643 |
If you did it right, you will end up with this table:
| 1 | 7 | 49 | 83 | 343 | 581 | 4,067 | 4,447 | 28,469 | 31,129 | 217,903 | 369,101 | 1,525,321 | 2,583,707 | 18,085,949 | 126,601,643 |
| -1 | -7 | -49 | -83 | -343 | -581 | -4,067 | -4,447 | -28,469 | -31,129 | -217,903 | -369,101 | -1,525,321 | -2,583,707 | -18,085,949 | -126,601,643 |
Here are some more numbers to try:
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