A:
Positive:
1 x 1254052255 x 2508104511 x 1140047519 x 660027525 x 501620955 x 228009595 x 1320055209 x 600025275 x 456019475 x 2640111045 x 1200055225 x 24001
Negative:
-1 x -125405225-5 x -25081045-11 x -11400475-19 x -6600275-25 x -5016209-55 x -2280095-95 x -1320055-209 x -600025-275 x -456019-475 x -264011-1045 x -120005-5225 x -24001
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 125,405,225, 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 | 125,405,225 | |
| -1 | -125,405,225 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 125,405,225.
Example:
1 x 125,405,225 = 125,405,225
and
-1 x -125,405,225 = 125,405,225
Notice both answers equal 125,405,225
With that explanation out of the way, let's continue. Next, we take the number 125,405,225 and divide it by 2:
125,405,225 ÷ 2 = 62,702,612.5
If the quotient is a whole number, then 2 and 62,702,612.5 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 | 125,405,225 | |
| -1 | -125,405,225 |
Now, we try dividing 125,405,225 by 3:
125,405,225 ÷ 3 = 41,801,741.6667
If the quotient is a whole number, then 3 and 41,801,741.6667 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 | 125,405,225 | |
| -1 | -125,405,225 |
Let's try dividing by 4:
125,405,225 ÷ 4 = 31,351,306.25
If the quotient is a whole number, then 4 and 31,351,306.25 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 | 125,405,225 | |
| -1 | 125,405,225 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 19 | 25 | 55 | 95 | 209 | 275 | 475 | 1,045 | 5,225 | 24,001 | 120,005 | 264,011 | 456,019 | 600,025 | 1,320,055 | 2,280,095 | 5,016,209 | 6,600,275 | 11,400,475 | 25,081,045 | 125,405,225 |
| -1 | -5 | -11 | -19 | -25 | -55 | -95 | -209 | -275 | -475 | -1,045 | -5,225 | -24,001 | -120,005 | -264,011 | -456,019 | -600,025 | -1,320,055 | -2,280,095 | -5,016,209 | -6,600,275 | -11,400,475 | -25,081,045 | -125,405,225 |
Here are some more numbers to try:
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