A:
Positive:
1 x 1141505055 x 228301017 x 1630721535 x 32614431609 x 709452027 x 563158045 x 1418910135 x 11263
Negative:
-1 x -114150505-5 x -22830101-7 x -16307215-35 x -3261443-1609 x -70945-2027 x -56315-8045 x -14189-10135 x -11263
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 114,150,505, 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 | 114,150,505 | |
| -1 | -114,150,505 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 114,150,505.
Example:
1 x 114,150,505 = 114,150,505
and
-1 x -114,150,505 = 114,150,505
Notice both answers equal 114,150,505
With that explanation out of the way, let's continue. Next, we take the number 114,150,505 and divide it by 2:
114,150,505 ÷ 2 = 57,075,252.5
If the quotient is a whole number, then 2 and 57,075,252.5 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 | 114,150,505 | |
| -1 | -114,150,505 |
Now, we try dividing 114,150,505 by 3:
114,150,505 ÷ 3 = 38,050,168.3333
If the quotient is a whole number, then 3 and 38,050,168.3333 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 | 114,150,505 | |
| -1 | -114,150,505 |
Let's try dividing by 4:
114,150,505 ÷ 4 = 28,537,626.25
If the quotient is a whole number, then 4 and 28,537,626.25 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 | 114,150,505 | |
| -1 | 114,150,505 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 35 | 1,609 | 2,027 | 8,045 | 10,135 | 11,263 | 14,189 | 56,315 | 70,945 | 3,261,443 | 16,307,215 | 22,830,101 | 114,150,505 |
| -1 | -5 | -7 | -35 | -1,609 | -2,027 | -8,045 | -10,135 | -11,263 | -14,189 | -56,315 | -70,945 | -3,261,443 | -16,307,215 | -22,830,101 | -114,150,505 |
Here are some more numbers to try:
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