A:
Positive:
1 x 41213252311 x 3746659359 x 698529773 x 5645651649 x 635027803 x 5132414307 x 956898699 x 47377
Negative:
-1 x -412132523-11 x -37466593-59 x -6985297-73 x -5645651-649 x -635027-803 x -513241-4307 x -95689-8699 x -47377
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 412,132,523, 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 | 412,132,523 | |
| -1 | -412,132,523 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 412,132,523.
Example:
1 x 412,132,523 = 412,132,523
and
-1 x -412,132,523 = 412,132,523
Notice both answers equal 412,132,523
With that explanation out of the way, let's continue. Next, we take the number 412,132,523 and divide it by 2:
412,132,523 ÷ 2 = 206,066,261.5
If the quotient is a whole number, then 2 and 206,066,261.5 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 | 412,132,523 | |
| -1 | -412,132,523 |
Now, we try dividing 412,132,523 by 3:
412,132,523 ÷ 3 = 137,377,507.6667
If the quotient is a whole number, then 3 and 137,377,507.6667 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 | 412,132,523 | |
| -1 | -412,132,523 |
Let's try dividing by 4:
412,132,523 ÷ 4 = 103,033,130.75
If the quotient is a whole number, then 4 and 103,033,130.75 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 | 412,132,523 | |
| -1 | 412,132,523 |
If you did it right, you will end up with this table:
| 1 | 11 | 59 | 73 | 649 | 803 | 4,307 | 8,699 | 47,377 | 95,689 | 513,241 | 635,027 | 5,645,651 | 6,985,297 | 37,466,593 | 412,132,523 |
| -1 | -11 | -59 | -73 | -649 | -803 | -4,307 | -8,699 | -47,377 | -95,689 | -513,241 | -635,027 | -5,645,651 | -6,985,297 | -37,466,593 | -412,132,523 |
Here are some more numbers to try:
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