A:
Positive:
1 x 357292255 x 71458457 x 510417525 x 142916935 x 102083561 x 585725175 x 204167305 x 117145427 x 836751525 x 234292135 x 167353347 x 10675
Negative:
-1 x -35729225-5 x -7145845-7 x -5104175-25 x -1429169-35 x -1020835-61 x -585725-175 x -204167-305 x -117145-427 x -83675-1525 x -23429-2135 x -16735-3347 x -10675
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 35,729,225, 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 | 35,729,225 | |
| -1 | -35,729,225 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 35,729,225.
Example:
1 x 35,729,225 = 35,729,225
and
-1 x -35,729,225 = 35,729,225
Notice both answers equal 35,729,225
With that explanation out of the way, let's continue. Next, we take the number 35,729,225 and divide it by 2:
35,729,225 ÷ 2 = 17,864,612.5
If the quotient is a whole number, then 2 and 17,864,612.5 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 | 35,729,225 | |
| -1 | -35,729,225 |
Now, we try dividing 35,729,225 by 3:
35,729,225 ÷ 3 = 11,909,741.6667
If the quotient is a whole number, then 3 and 11,909,741.6667 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 | 35,729,225 | |
| -1 | -35,729,225 |
Let's try dividing by 4:
35,729,225 ÷ 4 = 8,932,306.25
If the quotient is a whole number, then 4 and 8,932,306.25 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 | 35,729,225 | |
| -1 | 35,729,225 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 25 | 35 | 61 | 175 | 305 | 427 | 1,525 | 2,135 | 3,347 | 10,675 | 16,735 | 23,429 | 83,675 | 117,145 | 204,167 | 585,725 | 1,020,835 | 1,429,169 | 5,104,175 | 7,145,845 | 35,729,225 |
| -1 | -5 | -7 | -25 | -35 | -61 | -175 | -305 | -427 | -1,525 | -2,135 | -3,347 | -10,675 | -16,735 | -23,429 | -83,675 | -117,145 | -204,167 | -585,725 | -1,020,835 | -1,429,169 | -5,104,175 | -7,145,845 | -35,729,225 |
Here are some more numbers to try:
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