A:
Positive:
1 x 177221177 x 253173119 x 932743133 x 133249227 x 78071587 x 301911589 x 111534109 x 4313
Negative:
-1 x -17722117-7 x -2531731-19 x -932743-133 x -133249-227 x -78071-587 x -30191-1589 x -11153-4109 x -4313
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 17,722,117, 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 | 17,722,117 | |
| -1 | -17,722,117 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 17,722,117.
Example:
1 x 17,722,117 = 17,722,117
and
-1 x -17,722,117 = 17,722,117
Notice both answers equal 17,722,117
With that explanation out of the way, let's continue. Next, we take the number 17,722,117 and divide it by 2:
17,722,117 ÷ 2 = 8,861,058.5
If the quotient is a whole number, then 2 and 8,861,058.5 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 | 17,722,117 | |
| -1 | -17,722,117 |
Now, we try dividing 17,722,117 by 3:
17,722,117 ÷ 3 = 5,907,372.3333
If the quotient is a whole number, then 3 and 5,907,372.3333 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 | 17,722,117 | |
| -1 | -17,722,117 |
Let's try dividing by 4:
17,722,117 ÷ 4 = 4,430,529.25
If the quotient is a whole number, then 4 and 4,430,529.25 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 | 17,722,117 | |
| -1 | 17,722,117 |
If you did it right, you will end up with this table:
| 1 | 7 | 19 | 133 | 227 | 587 | 1,589 | 4,109 | 4,313 | 11,153 | 30,191 | 78,071 | 133,249 | 932,743 | 2,531,731 | 17,722,117 |
| -1 | -7 | -19 | -133 | -227 | -587 | -1,589 | -4,109 | -4,313 | -11,153 | -30,191 | -78,071 | -133,249 | -932,743 | -2,531,731 | -17,722,117 |
Here are some more numbers to try:
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