A:
Positive:
1 x 2241534055 x 448306817 x 3202191531 x 723075535 x 6404383155 x 1446151217 x 10329651085 x 206593
Negative:
-1 x -224153405-5 x -44830681-7 x -32021915-31 x -7230755-35 x -6404383-155 x -1446151-217 x -1032965-1085 x -206593
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 224,153,405, 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 | 224,153,405 | |
| -1 | -224,153,405 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 224,153,405.
Example:
1 x 224,153,405 = 224,153,405
and
-1 x -224,153,405 = 224,153,405
Notice both answers equal 224,153,405
With that explanation out of the way, let's continue. Next, we take the number 224,153,405 and divide it by 2:
224,153,405 ÷ 2 = 112,076,702.5
If the quotient is a whole number, then 2 and 112,076,702.5 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 | 224,153,405 | |
| -1 | -224,153,405 |
Now, we try dividing 224,153,405 by 3:
224,153,405 ÷ 3 = 74,717,801.6667
If the quotient is a whole number, then 3 and 74,717,801.6667 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 | 224,153,405 | |
| -1 | -224,153,405 |
Let's try dividing by 4:
224,153,405 ÷ 4 = 56,038,351.25
If the quotient is a whole number, then 4 and 56,038,351.25 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 | 224,153,405 | |
| -1 | 224,153,405 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 31 | 35 | 155 | 217 | 1,085 | 206,593 | 1,032,965 | 1,446,151 | 6,404,383 | 7,230,755 | 32,021,915 | 44,830,681 | 224,153,405 |
| -1 | -5 | -7 | -31 | -35 | -155 | -217 | -1,085 | -206,593 | -1,032,965 | -1,446,151 | -6,404,383 | -7,230,755 | -32,021,915 | -44,830,681 | -224,153,405 |
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