A:
Positive:
1 x 4121323255 x 8242646511 x 3746657519 x 2169117525 x 1648529355 x 749331595 x 4338235209 x 1971925275 x 1498663475 x 8676471045 x 3943855225 x 78877
Negative:
-1 x -412132325-5 x -82426465-11 x -37466575-19 x -21691175-25 x -16485293-55 x -7493315-95 x -4338235-209 x -1971925-275 x -1498663-475 x -867647-1045 x -394385-5225 x -78877
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 412,132,325, 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 | 412,132,325 | |
| -1 | -412,132,325 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 412,132,325.
Example:
1 x 412,132,325 = 412,132,325
and
-1 x -412,132,325 = 412,132,325
Notice both answers equal 412,132,325
With that explanation out of the way, let's continue. Next, we take the number 412,132,325 and divide it by 2:
412,132,325 ÷ 2 = 206,066,162.5
If the quotient is a whole number, then 2 and 206,066,162.5 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 | 412,132,325 | |
| -1 | -412,132,325 |
Now, we try dividing 412,132,325 by 3:
412,132,325 ÷ 3 = 137,377,441.6667
If the quotient is a whole number, then 3 and 137,377,441.6667 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 | 412,132,325 | |
| -1 | -412,132,325 |
Let's try dividing by 4:
412,132,325 ÷ 4 = 103,033,081.25
If the quotient is a whole number, then 4 and 103,033,081.25 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 | 412,132,325 | |
| -1 | 412,132,325 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 19 | 25 | 55 | 95 | 209 | 275 | 475 | 1,045 | 5,225 | 78,877 | 394,385 | 867,647 | 1,498,663 | 1,971,925 | 4,338,235 | 7,493,315 | 16,485,293 | 21,691,175 | 37,466,575 | 82,426,465 | 412,132,325 |
| -1 | -5 | -11 | -19 | -25 | -55 | -95 | -209 | -275 | -475 | -1,045 | -5,225 | -78,877 | -394,385 | -867,647 | -1,498,663 | -1,971,925 | -4,338,235 | -7,493,315 | -16,485,293 | -21,691,175 | -37,466,575 | -82,426,465 | -412,132,325 |
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