A:
Positive:
1 x 1213210255 x 242642057 x 1733157525 x 485284135 x 3466315175 x 693263367 x 3305751835 x 661151889 x 642252569 x 472259175 x 132239445 x 12845
Negative:
-1 x -121321025-5 x -24264205-7 x -17331575-25 x -4852841-35 x -3466315-175 x -693263-367 x -330575-1835 x -66115-1889 x -64225-2569 x -47225-9175 x -13223-9445 x -12845
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 121,321,025, 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 | 121,321,025 | |
| -1 | -121,321,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 121,321,025.
Example:
1 x 121,321,025 = 121,321,025
and
-1 x -121,321,025 = 121,321,025
Notice both answers equal 121,321,025
With that explanation out of the way, let's continue. Next, we take the number 121,321,025 and divide it by 2:
121,321,025 ÷ 2 = 60,660,512.5
If the quotient is a whole number, then 2 and 60,660,512.5 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 | 121,321,025 | |
| -1 | -121,321,025 |
Now, we try dividing 121,321,025 by 3:
121,321,025 ÷ 3 = 40,440,341.6667
If the quotient is a whole number, then 3 and 40,440,341.6667 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 | 121,321,025 | |
| -1 | -121,321,025 |
Let's try dividing by 4:
121,321,025 ÷ 4 = 30,330,256.25
If the quotient is a whole number, then 4 and 30,330,256.25 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 | 121,321,025 | |
| -1 | 121,321,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 25 | 35 | 175 | 367 | 1,835 | 1,889 | 2,569 | 9,175 | 9,445 | 12,845 | 13,223 | 47,225 | 64,225 | 66,115 | 330,575 | 693,263 | 3,466,315 | 4,852,841 | 17,331,575 | 24,264,205 | 121,321,025 |
| -1 | -5 | -7 | -25 | -35 | -175 | -367 | -1,835 | -1,889 | -2,569 | -9,175 | -9,445 | -12,845 | -13,223 | -47,225 | -64,225 | -66,115 | -330,575 | -693,263 | -3,466,315 | -4,852,841 | -17,331,575 | -24,264,205 | -121,321,025 |
Here are some more numbers to try:
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