A:
Positive:
1 x 1250152329 x 43108737 x 33787961 x 204943191 x 654531073 x 116511769 x 70672257 x 5539
Negative:
-1 x -12501523-29 x -431087-37 x -337879-61 x -204943-191 x -65453-1073 x -11651-1769 x -7067-2257 x -5539
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 12,501,523, 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 | 12,501,523 | |
| -1 | -12,501,523 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 12,501,523.
Example:
1 x 12,501,523 = 12,501,523
and
-1 x -12,501,523 = 12,501,523
Notice both answers equal 12,501,523
With that explanation out of the way, let's continue. Next, we take the number 12,501,523 and divide it by 2:
12,501,523 ÷ 2 = 6,250,761.5
If the quotient is a whole number, then 2 and 6,250,761.5 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 | 12,501,523 | |
| -1 | -12,501,523 |
Now, we try dividing 12,501,523 by 3:
12,501,523 ÷ 3 = 4,167,174.3333
If the quotient is a whole number, then 3 and 4,167,174.3333 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 | 12,501,523 | |
| -1 | -12,501,523 |
Let's try dividing by 4:
12,501,523 ÷ 4 = 3,125,380.75
If the quotient is a whole number, then 4 and 3,125,380.75 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 | 12,501,523 | |
| -1 | 12,501,523 |
If you did it right, you will end up with this table:
| 1 | 29 | 37 | 61 | 191 | 1,073 | 1,769 | 2,257 | 5,539 | 7,067 | 11,651 | 65,453 | 204,943 | 337,879 | 431,087 | 12,501,523 |
| -1 | -29 | -37 | -61 | -191 | -1,073 | -1,769 | -2,257 | -5,539 | -7,067 | -11,651 | -65,453 | -204,943 | -337,879 | -431,087 | -12,501,523 |
Here are some more numbers to try:
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