A:
Positive:
1 x 102550255 x 205100511 x 93227525 x 41020155 x 18645589 x 115225275 x 37291419 x 24475445 x 23045979 x 104752095 x 48952225 x 4609
Negative:
-1 x -10255025-5 x -2051005-11 x -932275-25 x -410201-55 x -186455-89 x -115225-275 x -37291-419 x -24475-445 x -23045-979 x -10475-2095 x -4895-2225 x -4609
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 10,255,025, 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 | 10,255,025 | |
| -1 | -10,255,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 10,255,025.
Example:
1 x 10,255,025 = 10,255,025
and
-1 x -10,255,025 = 10,255,025
Notice both answers equal 10,255,025
With that explanation out of the way, let's continue. Next, we take the number 10,255,025 and divide it by 2:
10,255,025 ÷ 2 = 5,127,512.5
If the quotient is a whole number, then 2 and 5,127,512.5 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 | 10,255,025 | |
| -1 | -10,255,025 |
Now, we try dividing 10,255,025 by 3:
10,255,025 ÷ 3 = 3,418,341.6667
If the quotient is a whole number, then 3 and 3,418,341.6667 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 | 10,255,025 | |
| -1 | -10,255,025 |
Let's try dividing by 4:
10,255,025 ÷ 4 = 2,563,756.25
If the quotient is a whole number, then 4 and 2,563,756.25 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 | 10,255,025 | |
| -1 | 10,255,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 25 | 55 | 89 | 275 | 419 | 445 | 979 | 2,095 | 2,225 | 4,609 | 4,895 | 10,475 | 23,045 | 24,475 | 37,291 | 115,225 | 186,455 | 410,201 | 932,275 | 2,051,005 | 10,255,025 |
| -1 | -5 | -11 | -25 | -55 | -89 | -275 | -419 | -445 | -979 | -2,095 | -2,225 | -4,609 | -4,895 | -10,475 | -23,045 | -24,475 | -37,291 | -115,225 | -186,455 | -410,201 | -932,275 | -2,051,005 | -10,255,025 |
Here are some more numbers to try:
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