A:
Positive:
1 x 301535755 x 603071523 x 131102525 x 1206143115 x 262205229 x 131675575 x 524411145 x 263355267 x 5725
Negative:
-1 x -30153575-5 x -6030715-23 x -1311025-25 x -1206143-115 x -262205-229 x -131675-575 x -52441-1145 x -26335-5267 x -5725
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 30,153,575, 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 | 30,153,575 | |
| -1 | -30,153,575 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 30,153,575.
Example:
1 x 30,153,575 = 30,153,575
and
-1 x -30,153,575 = 30,153,575
Notice both answers equal 30,153,575
With that explanation out of the way, let's continue. Next, we take the number 30,153,575 and divide it by 2:
30,153,575 ÷ 2 = 15,076,787.5
If the quotient is a whole number, then 2 and 15,076,787.5 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 | 30,153,575 | |
| -1 | -30,153,575 |
Now, we try dividing 30,153,575 by 3:
30,153,575 ÷ 3 = 10,051,191.6667
If the quotient is a whole number, then 3 and 10,051,191.6667 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 | 30,153,575 | |
| -1 | -30,153,575 |
Let's try dividing by 4:
30,153,575 ÷ 4 = 7,538,393.75
If the quotient is a whole number, then 4 and 7,538,393.75 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 | 30,153,575 | |
| -1 | 30,153,575 |
If you did it right, you will end up with this table:
| 1 | 5 | 23 | 25 | 115 | 229 | 575 | 1,145 | 5,267 | 5,725 | 26,335 | 52,441 | 131,675 | 262,205 | 1,206,143 | 1,311,025 | 6,030,715 | 30,153,575 |
| -1 | -5 | -23 | -25 | -115 | -229 | -575 | -1,145 | -5,267 | -5,725 | -26,335 | -52,441 | -131,675 | -262,205 | -1,206,143 | -1,311,025 | -6,030,715 | -30,153,575 |
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