A:
Positive:
1 x 25826815311 x 2347892313 x 19866781137 x 1885169143 x 18060711507 x 1713791781 x 14501313183 x 19591
Negative:
-1 x -258268153-11 x -23478923-13 x -19866781-137 x -1885169-143 x -1806071-1507 x -171379-1781 x -145013-13183 x -19591
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 258,268,153, 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 | 258,268,153 | |
| -1 | -258,268,153 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 258,268,153.
Example:
1 x 258,268,153 = 258,268,153
and
-1 x -258,268,153 = 258,268,153
Notice both answers equal 258,268,153
With that explanation out of the way, let's continue. Next, we take the number 258,268,153 and divide it by 2:
258,268,153 ÷ 2 = 129,134,076.5
If the quotient is a whole number, then 2 and 129,134,076.5 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 | 258,268,153 | |
| -1 | -258,268,153 |
Now, we try dividing 258,268,153 by 3:
258,268,153 ÷ 3 = 86,089,384.3333
If the quotient is a whole number, then 3 and 86,089,384.3333 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 | 258,268,153 | |
| -1 | -258,268,153 |
Let's try dividing by 4:
258,268,153 ÷ 4 = 64,567,038.25
If the quotient is a whole number, then 4 and 64,567,038.25 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 | 258,268,153 | |
| -1 | 258,268,153 |
If you did it right, you will end up with this table:
| 1 | 11 | 13 | 137 | 143 | 1,507 | 1,781 | 13,183 | 19,591 | 145,013 | 171,379 | 1,806,071 | 1,885,169 | 19,866,781 | 23,478,923 | 258,268,153 |
| -1 | -11 | -13 | -137 | -143 | -1,507 | -1,781 | -13,183 | -19,591 | -145,013 | -171,379 | -1,806,071 | -1,885,169 | -19,866,781 | -23,478,923 | -258,268,153 |
Here are some more numbers to try:
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