A:
Positive:
1 x 6103512255 x 12207024511 x 5548647525 x 2441404955 x 11097295121 x 5044225275 x 2219459605 x 10088453025 x 201769
Negative:
-1 x -610351225-5 x -122070245-11 x -55486475-25 x -24414049-55 x -11097295-121 x -5044225-275 x -2219459-605 x -1008845-3025 x -201769
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 610,351,225, 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 | 610,351,225 | |
| -1 | -610,351,225 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 610,351,225.
Example:
1 x 610,351,225 = 610,351,225
and
-1 x -610,351,225 = 610,351,225
Notice both answers equal 610,351,225
With that explanation out of the way, let's continue. Next, we take the number 610,351,225 and divide it by 2:
610,351,225 ÷ 2 = 305,175,612.5
If the quotient is a whole number, then 2 and 305,175,612.5 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 | 610,351,225 | |
| -1 | -610,351,225 |
Now, we try dividing 610,351,225 by 3:
610,351,225 ÷ 3 = 203,450,408.3333
If the quotient is a whole number, then 3 and 203,450,408.3333 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 | 610,351,225 | |
| -1 | -610,351,225 |
Let's try dividing by 4:
610,351,225 ÷ 4 = 152,587,806.25
If the quotient is a whole number, then 4 and 152,587,806.25 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 | 610,351,225 | |
| -1 | 610,351,225 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 25 | 55 | 121 | 275 | 605 | 3,025 | 201,769 | 1,008,845 | 2,219,459 | 5,044,225 | 11,097,295 | 24,414,049 | 55,486,475 | 122,070,245 | 610,351,225 |
| -1 | -5 | -11 | -25 | -55 | -121 | -275 | -605 | -3,025 | -201,769 | -1,008,845 | -2,219,459 | -5,044,225 | -11,097,295 | -24,414,049 | -55,486,475 | -122,070,245 | -610,351,225 |
Here are some more numbers to try:
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