A:
Positive:
1 x 9000255 x 1800057 x 12857525 x 3600135 x 2571537 x 24325139 x 6475175 x 5143185 x 4865259 x 3475695 x 1295925 x 973
Negative:
-1 x -900025-5 x -180005-7 x -128575-25 x -36001-35 x -25715-37 x -24325-139 x -6475-175 x -5143-185 x -4865-259 x -3475-695 x -1295-925 x -973
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 900,025, 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 | 900,025 | |
| -1 | -900,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 900,025.
Example:
1 x 900,025 = 900,025
and
-1 x -900,025 = 900,025
Notice both answers equal 900,025
With that explanation out of the way, let's continue. Next, we take the number 900,025 and divide it by 2:
900,025 ÷ 2 = 450,012.5
If the quotient is a whole number, then 2 and 450,012.5 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 | 900,025 | |
| -1 | -900,025 |
Now, we try dividing 900,025 by 3:
900,025 ÷ 3 = 300,008.3333
If the quotient is a whole number, then 3 and 300,008.3333 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 | 900,025 | |
| -1 | -900,025 |
Let's try dividing by 4:
900,025 ÷ 4 = 225,006.25
If the quotient is a whole number, then 4 and 225,006.25 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 | 900,025 | |
| -1 | 900,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 25 | 35 | 37 | 139 | 175 | 185 | 259 | 695 | 925 | 973 | 1,295 | 3,475 | 4,865 | 5,143 | 6,475 | 24,325 | 25,715 | 36,001 | 128,575 | 180,005 | 900,025 |
| -1 | -5 | -7 | -25 | -35 | -37 | -139 | -175 | -185 | -259 | -695 | -925 | -973 | -1,295 | -3,475 | -4,865 | -5,143 | -6,475 | -24,325 | -25,715 | -36,001 | -128,575 | -180,005 | -900,025 |
Here are some more numbers to try:
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