A:
Positive:
1 x 11410414931 x 368077967 x 1703047137 x 832877401 x 2845492077 x 549374247 x 268679179 x 12431
Negative:
-1 x -114104149-31 x -3680779-67 x -1703047-137 x -832877-401 x -284549-2077 x -54937-4247 x -26867-9179 x -12431
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 114,104,149, 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 | 114,104,149 | |
| -1 | -114,104,149 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 114,104,149.
Example:
1 x 114,104,149 = 114,104,149
and
-1 x -114,104,149 = 114,104,149
Notice both answers equal 114,104,149
With that explanation out of the way, let's continue. Next, we take the number 114,104,149 and divide it by 2:
114,104,149 ÷ 2 = 57,052,074.5
If the quotient is a whole number, then 2 and 57,052,074.5 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 | 114,104,149 | |
| -1 | -114,104,149 |
Now, we try dividing 114,104,149 by 3:
114,104,149 ÷ 3 = 38,034,716.3333
If the quotient is a whole number, then 3 and 38,034,716.3333 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 | 114,104,149 | |
| -1 | -114,104,149 |
Let's try dividing by 4:
114,104,149 ÷ 4 = 28,526,037.25
If the quotient is a whole number, then 4 and 28,526,037.25 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 | 114,104,149 | |
| -1 | 114,104,149 |
If you did it right, you will end up with this table:
| 1 | 31 | 67 | 137 | 401 | 2,077 | 4,247 | 9,179 | 12,431 | 26,867 | 54,937 | 284,549 | 832,877 | 1,703,047 | 3,680,779 | 114,104,149 |
| -1 | -31 | -67 | -137 | -401 | -2,077 | -4,247 | -9,179 | -12,431 | -26,867 | -54,937 | -284,549 | -832,877 | -1,703,047 | -3,680,779 | -114,104,149 |
Here are some more numbers to try:
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