A:
Positive:
1 x 4333420255 x 8666840519 x 2280747525 x 1733368131 x 1397877595 x 4561495155 x 2795755475 x 912299589 x 735725775 x 5591512945 x 14714514725 x 29429
Negative:
-1 x -433342025-5 x -86668405-19 x -22807475-25 x -17333681-31 x -13978775-95 x -4561495-155 x -2795755-475 x -912299-589 x -735725-775 x -559151-2945 x -147145-14725 x -29429
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 433,342,025, 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 | 433,342,025 | |
| -1 | -433,342,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 433,342,025.
Example:
1 x 433,342,025 = 433,342,025
and
-1 x -433,342,025 = 433,342,025
Notice both answers equal 433,342,025
With that explanation out of the way, let's continue. Next, we take the number 433,342,025 and divide it by 2:
433,342,025 ÷ 2 = 216,671,012.5
If the quotient is a whole number, then 2 and 216,671,012.5 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 | 433,342,025 | |
| -1 | -433,342,025 |
Now, we try dividing 433,342,025 by 3:
433,342,025 ÷ 3 = 144,447,341.6667
If the quotient is a whole number, then 3 and 144,447,341.6667 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 | 433,342,025 | |
| -1 | -433,342,025 |
Let's try dividing by 4:
433,342,025 ÷ 4 = 108,335,506.25
If the quotient is a whole number, then 4 and 108,335,506.25 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 | 433,342,025 | |
| -1 | 433,342,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 19 | 25 | 31 | 95 | 155 | 475 | 589 | 775 | 2,945 | 14,725 | 29,429 | 147,145 | 559,151 | 735,725 | 912,299 | 2,795,755 | 4,561,495 | 13,978,775 | 17,333,681 | 22,807,475 | 86,668,405 | 433,342,025 |
| -1 | -5 | -19 | -25 | -31 | -95 | -155 | -475 | -589 | -775 | -2,945 | -14,725 | -29,429 | -147,145 | -559,151 | -735,725 | -912,299 | -2,795,755 | -4,561,495 | -13,978,775 | -17,333,681 | -22,807,475 | -86,668,405 | -433,342,025 |
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