A:
Positive:
1 x 11411431911 x 1037402917 x 671260759 x 1934141187 x 610237649 x 1758311003 x 11377310343 x 11033
Negative:
-1 x -114114319-11 x -10374029-17 x -6712607-59 x -1934141-187 x -610237-649 x -175831-1003 x -113773-10343 x -11033
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 114,114,319, 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 | 114,114,319 | |
| -1 | -114,114,319 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 114,114,319.
Example:
1 x 114,114,319 = 114,114,319
and
-1 x -114,114,319 = 114,114,319
Notice both answers equal 114,114,319
With that explanation out of the way, let's continue. Next, we take the number 114,114,319 and divide it by 2:
114,114,319 ÷ 2 = 57,057,159.5
If the quotient is a whole number, then 2 and 57,057,159.5 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 | 114,114,319 | |
| -1 | -114,114,319 |
Now, we try dividing 114,114,319 by 3:
114,114,319 ÷ 3 = 38,038,106.3333
If the quotient is a whole number, then 3 and 38,038,106.3333 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 | 114,114,319 | |
| -1 | -114,114,319 |
Let's try dividing by 4:
114,114,319 ÷ 4 = 28,528,579.75
If the quotient is a whole number, then 4 and 28,528,579.75 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 | 114,114,319 | |
| -1 | 114,114,319 |
If you did it right, you will end up with this table:
| 1 | 11 | 17 | 59 | 187 | 649 | 1,003 | 10,343 | 11,033 | 113,773 | 175,831 | 610,237 | 1,934,141 | 6,712,607 | 10,374,029 | 114,114,319 |
| -1 | -11 | -17 | -59 | -187 | -649 | -1,003 | -10,343 | -11,033 | -113,773 | -175,831 | -610,237 | -1,934,141 | -6,712,607 | -10,374,029 | -114,114,319 |
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