A:
Positive:
1 x 1014430255 x 2028860525 x 405772167 x 151407571 x 1428775335 x 302815355 x 285755853 x 1189251675 x 605631775 x 571514265 x 237854757 x 21325
Negative:
-1 x -101443025-5 x -20288605-25 x -4057721-67 x -1514075-71 x -1428775-335 x -302815-355 x -285755-853 x -118925-1675 x -60563-1775 x -57151-4265 x -23785-4757 x -21325
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 101,443,025, 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 | 101,443,025 | |
| -1 | -101,443,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 101,443,025.
Example:
1 x 101,443,025 = 101,443,025
and
-1 x -101,443,025 = 101,443,025
Notice both answers equal 101,443,025
With that explanation out of the way, let's continue. Next, we take the number 101,443,025 and divide it by 2:
101,443,025 ÷ 2 = 50,721,512.5
If the quotient is a whole number, then 2 and 50,721,512.5 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 | 101,443,025 | |
| -1 | -101,443,025 |
Now, we try dividing 101,443,025 by 3:
101,443,025 ÷ 3 = 33,814,341.6667
If the quotient is a whole number, then 3 and 33,814,341.6667 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 | 101,443,025 | |
| -1 | -101,443,025 |
Let's try dividing by 4:
101,443,025 ÷ 4 = 25,360,756.25
If the quotient is a whole number, then 4 and 25,360,756.25 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 | 101,443,025 | |
| -1 | 101,443,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 67 | 71 | 335 | 355 | 853 | 1,675 | 1,775 | 4,265 | 4,757 | 21,325 | 23,785 | 57,151 | 60,563 | 118,925 | 285,755 | 302,815 | 1,428,775 | 1,514,075 | 4,057,721 | 20,288,605 | 101,443,025 |
| -1 | -5 | -25 | -67 | -71 | -335 | -355 | -853 | -1,675 | -1,775 | -4,265 | -4,757 | -21,325 | -23,785 | -57,151 | -60,563 | -118,925 | -285,755 | -302,815 | -1,428,775 | -1,514,075 | -4,057,721 | -20,288,605 | -101,443,025 |
Here are some more numbers to try:
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