A:
Positive:
1 x 3500225311 x 318202313 x 2692481143 x 244771151 x 2318031621 x 215931661 x 210731963 x 17831
Negative:
-1 x -35002253-11 x -3182023-13 x -2692481-143 x -244771-151 x -231803-1621 x -21593-1661 x -21073-1963 x -17831
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 35,002,253, 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 | 35,002,253 | |
| -1 | -35,002,253 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 35,002,253.
Example:
1 x 35,002,253 = 35,002,253
and
-1 x -35,002,253 = 35,002,253
Notice both answers equal 35,002,253
With that explanation out of the way, let's continue. Next, we take the number 35,002,253 and divide it by 2:
35,002,253 ÷ 2 = 17,501,126.5
If the quotient is a whole number, then 2 and 17,501,126.5 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 | 35,002,253 | |
| -1 | -35,002,253 |
Now, we try dividing 35,002,253 by 3:
35,002,253 ÷ 3 = 11,667,417.6667
If the quotient is a whole number, then 3 and 11,667,417.6667 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 | 35,002,253 | |
| -1 | -35,002,253 |
Let's try dividing by 4:
35,002,253 ÷ 4 = 8,750,563.25
If the quotient is a whole number, then 4 and 8,750,563.25 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 | 35,002,253 | |
| -1 | 35,002,253 |
If you did it right, you will end up with this table:
| 1 | 11 | 13 | 143 | 151 | 1,621 | 1,661 | 1,963 | 17,831 | 21,073 | 21,593 | 231,803 | 244,771 | 2,692,481 | 3,182,023 | 35,002,253 |
| -1 | -11 | -13 | -143 | -151 | -1,621 | -1,661 | -1,963 | -17,831 | -21,073 | -21,593 | -231,803 | -244,771 | -2,692,481 | -3,182,023 | -35,002,253 |
Here are some more numbers to try:
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