A:
Positive:
1 x 41452030113 x 3188617743 x 9640007347 x 1194583559 x 7415392137 x 1939734511 x 9189114921 x 27781
Negative:
-1 x -414520301-13 x -31886177-43 x -9640007-347 x -1194583-559 x -741539-2137 x -193973-4511 x -91891-14921 x -27781
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 414,520,301, 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 | 414,520,301 | |
| -1 | -414,520,301 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 414,520,301.
Example:
1 x 414,520,301 = 414,520,301
and
-1 x -414,520,301 = 414,520,301
Notice both answers equal 414,520,301
With that explanation out of the way, let's continue. Next, we take the number 414,520,301 and divide it by 2:
414,520,301 ÷ 2 = 207,260,150.5
If the quotient is a whole number, then 2 and 207,260,150.5 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 | 414,520,301 | |
| -1 | -414,520,301 |
Now, we try dividing 414,520,301 by 3:
414,520,301 ÷ 3 = 138,173,433.6667
If the quotient is a whole number, then 3 and 138,173,433.6667 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 | 414,520,301 | |
| -1 | -414,520,301 |
Let's try dividing by 4:
414,520,301 ÷ 4 = 103,630,075.25
If the quotient is a whole number, then 4 and 103,630,075.25 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 | 414,520,301 | |
| -1 | 414,520,301 |
If you did it right, you will end up with this table:
| 1 | 13 | 43 | 347 | 559 | 2,137 | 4,511 | 14,921 | 27,781 | 91,891 | 193,973 | 741,539 | 1,194,583 | 9,640,007 | 31,886,177 | 414,520,301 |
| -1 | -13 | -43 | -347 | -559 | -2,137 | -4,511 | -14,921 | -27,781 | -91,891 | -193,973 | -741,539 | -1,194,583 | -9,640,007 | -31,886,177 | -414,520,301 |
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