A:
Positive:
1 x 4132434255 x 826486857 x 5903477525 x 1652973735 x 11806955175 x 2361391859 x 4810752749 x 1503254295 x 962156013 x 6872513745 x 3006519243 x 21475
Negative:
-1 x -413243425-5 x -82648685-7 x -59034775-25 x -16529737-35 x -11806955-175 x -2361391-859 x -481075-2749 x -150325-4295 x -96215-6013 x -68725-13745 x -30065-19243 x -21475
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 413,243,425, 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 | 413,243,425 | |
| -1 | -413,243,425 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 413,243,425.
Example:
1 x 413,243,425 = 413,243,425
and
-1 x -413,243,425 = 413,243,425
Notice both answers equal 413,243,425
With that explanation out of the way, let's continue. Next, we take the number 413,243,425 and divide it by 2:
413,243,425 ÷ 2 = 206,621,712.5
If the quotient is a whole number, then 2 and 206,621,712.5 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 | 413,243,425 | |
| -1 | -413,243,425 |
Now, we try dividing 413,243,425 by 3:
413,243,425 ÷ 3 = 137,747,808.3333
If the quotient is a whole number, then 3 and 137,747,808.3333 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 | 413,243,425 | |
| -1 | -413,243,425 |
Let's try dividing by 4:
413,243,425 ÷ 4 = 103,310,856.25
If the quotient is a whole number, then 4 and 103,310,856.25 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 | 413,243,425 | |
| -1 | 413,243,425 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 25 | 35 | 175 | 859 | 2,749 | 4,295 | 6,013 | 13,745 | 19,243 | 21,475 | 30,065 | 68,725 | 96,215 | 150,325 | 481,075 | 2,361,391 | 11,806,955 | 16,529,737 | 59,034,775 | 82,648,685 | 413,243,425 |
| -1 | -5 | -7 | -25 | -35 | -175 | -859 | -2,749 | -4,295 | -6,013 | -13,745 | -19,243 | -21,475 | -30,065 | -68,725 | -96,215 | -150,325 | -481,075 | -2,361,391 | -11,806,955 | -16,529,737 | -59,034,775 | -82,648,685 | -413,243,425 |
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