A:
Positive:
1 x 1213020255 x 2426040513 x 933092525 x 485208165 x 1866185251 x 483275325 x 3732371255 x 966551487 x 815753263 x 371756275 x 193317435 x 16315
Negative:
-1 x -121302025-5 x -24260405-13 x -9330925-25 x -4852081-65 x -1866185-251 x -483275-325 x -373237-1255 x -96655-1487 x -81575-3263 x -37175-6275 x -19331-7435 x -16315
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 121,302,025, 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 | 121,302,025 | |
| -1 | -121,302,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 121,302,025.
Example:
1 x 121,302,025 = 121,302,025
and
-1 x -121,302,025 = 121,302,025
Notice both answers equal 121,302,025
With that explanation out of the way, let's continue. Next, we take the number 121,302,025 and divide it by 2:
121,302,025 ÷ 2 = 60,651,012.5
If the quotient is a whole number, then 2 and 60,651,012.5 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 | 121,302,025 | |
| -1 | -121,302,025 |
Now, we try dividing 121,302,025 by 3:
121,302,025 ÷ 3 = 40,434,008.3333
If the quotient is a whole number, then 3 and 40,434,008.3333 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 | 121,302,025 | |
| -1 | -121,302,025 |
Let's try dividing by 4:
121,302,025 ÷ 4 = 30,325,506.25
If the quotient is a whole number, then 4 and 30,325,506.25 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 | 121,302,025 | |
| -1 | 121,302,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 25 | 65 | 251 | 325 | 1,255 | 1,487 | 3,263 | 6,275 | 7,435 | 16,315 | 19,331 | 37,175 | 81,575 | 96,655 | 373,237 | 483,275 | 1,866,185 | 4,852,081 | 9,330,925 | 24,260,405 | 121,302,025 |
| -1 | -5 | -13 | -25 | -65 | -251 | -325 | -1,255 | -1,487 | -3,263 | -6,275 | -7,435 | -16,315 | -19,331 | -37,175 | -81,575 | -96,655 | -373,237 | -483,275 | -1,866,185 | -4,852,081 | -9,330,925 | -24,260,405 | -121,302,025 |
Here are some more numbers to try:
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