A:
Positive:
1 x 23130255 x 46260511 x 21027513 x 17792525 x 9252155 x 4205565 x 35585143 x 16175275 x 8411325 x 7117647 x 3575715 x 3235
Negative:
-1 x -2313025-5 x -462605-11 x -210275-13 x -177925-25 x -92521-55 x -42055-65 x -35585-143 x -16175-275 x -8411-325 x -7117-647 x -3575-715 x -3235
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 2,313,025, 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 | 2,313,025 | |
| -1 | -2,313,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 2,313,025.
Example:
1 x 2,313,025 = 2,313,025
and
-1 x -2,313,025 = 2,313,025
Notice both answers equal 2,313,025
With that explanation out of the way, let's continue. Next, we take the number 2,313,025 and divide it by 2:
2,313,025 ÷ 2 = 1,156,512.5
If the quotient is a whole number, then 2 and 1,156,512.5 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 | 2,313,025 | |
| -1 | -2,313,025 |
Now, we try dividing 2,313,025 by 3:
2,313,025 ÷ 3 = 771,008.3333
If the quotient is a whole number, then 3 and 771,008.3333 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 | 2,313,025 | |
| -1 | -2,313,025 |
Let's try dividing by 4:
2,313,025 ÷ 4 = 578,256.25
If the quotient is a whole number, then 4 and 578,256.25 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 | 2,313,025 | |
| -1 | 2,313,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 13 | 25 | 55 | 65 | 143 | 275 | 325 | 647 | 715 | 3,235 | 3,575 | 7,117 | 8,411 | 16,175 | 35,585 | 42,055 | 92,521 | 177,925 | 210,275 | 462,605 | 2,313,025 |
| -1 | -5 | -11 | -13 | -25 | -55 | -65 | -143 | -275 | -325 | -647 | -715 | -3,235 | -3,575 | -7,117 | -8,411 | -16,175 | -35,585 | -42,055 | -92,521 | -177,925 | -210,275 | -462,605 | -2,313,025 |
Here are some more numbers to try:
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