A:
Positive:
1 x 4144135455 x 828827097 x 5920193513 x 3187796535 x 1184038765 x 637559391 x 4553995455 x 910799
Negative:
-1 x -414413545-5 x -82882709-7 x -59201935-13 x -31877965-35 x -11840387-65 x -6375593-91 x -4553995-455 x -910799
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 414,413,545, 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 | 414,413,545 | |
| -1 | -414,413,545 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 414,413,545.
Example:
1 x 414,413,545 = 414,413,545
and
-1 x -414,413,545 = 414,413,545
Notice both answers equal 414,413,545
With that explanation out of the way, let's continue. Next, we take the number 414,413,545 and divide it by 2:
414,413,545 ÷ 2 = 207,206,772.5
If the quotient is a whole number, then 2 and 207,206,772.5 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 | 414,413,545 | |
| -1 | -414,413,545 |
Now, we try dividing 414,413,545 by 3:
414,413,545 ÷ 3 = 138,137,848.3333
If the quotient is a whole number, then 3 and 138,137,848.3333 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 | 414,413,545 | |
| -1 | -414,413,545 |
Let's try dividing by 4:
414,413,545 ÷ 4 = 103,603,386.25
If the quotient is a whole number, then 4 and 103,603,386.25 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 | 414,413,545 | |
| -1 | 414,413,545 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 13 | 35 | 65 | 91 | 455 | 910,799 | 4,553,995 | 6,375,593 | 11,840,387 | 31,877,965 | 59,201,935 | 82,882,709 | 414,413,545 |
| -1 | -5 | -7 | -13 | -35 | -65 | -91 | -455 | -910,799 | -4,553,995 | -6,375,593 | -11,840,387 | -31,877,965 | -59,201,935 | -82,882,709 | -414,413,545 |
Here are some more numbers to try:
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