A:
Positive:
1 x 356102355 x 712204743 x 82814589 x 400115215 x 165629445 x 800231861 x 191353827 x 9305
Negative:
-1 x -35610235-5 x -7122047-43 x -828145-89 x -400115-215 x -165629-445 x -80023-1861 x -19135-3827 x -9305
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 35,610,235, 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 | 35,610,235 | |
| -1 | -35,610,235 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 35,610,235.
Example:
1 x 35,610,235 = 35,610,235
and
-1 x -35,610,235 = 35,610,235
Notice both answers equal 35,610,235
With that explanation out of the way, let's continue. Next, we take the number 35,610,235 and divide it by 2:
35,610,235 ÷ 2 = 17,805,117.5
If the quotient is a whole number, then 2 and 17,805,117.5 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 | 35,610,235 | |
| -1 | -35,610,235 |
Now, we try dividing 35,610,235 by 3:
35,610,235 ÷ 3 = 11,870,078.3333
If the quotient is a whole number, then 3 and 11,870,078.3333 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 | 35,610,235 | |
| -1 | -35,610,235 |
Let's try dividing by 4:
35,610,235 ÷ 4 = 8,902,558.75
If the quotient is a whole number, then 4 and 8,902,558.75 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 | 35,610,235 | |
| -1 | 35,610,235 |
If you did it right, you will end up with this table:
| 1 | 5 | 43 | 89 | 215 | 445 | 1,861 | 3,827 | 9,305 | 19,135 | 80,023 | 165,629 | 400,115 | 828,145 | 7,122,047 | 35,610,235 |
| -1 | -5 | -43 | -89 | -215 | -445 | -1,861 | -3,827 | -9,305 | -19,135 | -80,023 | -165,629 | -400,115 | -828,145 | -7,122,047 | -35,610,235 |
Here are some more numbers to try:
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