A:
Positive:
1 x 1143024197 x 1632891711 x 1039112977 x 1484447179 x 6385611253 x 912231969 x 580518293 x 13783
Negative:
-1 x -114302419-7 x -16328917-11 x -10391129-77 x -1484447-179 x -638561-1253 x -91223-1969 x -58051-8293 x -13783
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 114,302,419, 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 | 114,302,419 | |
| -1 | -114,302,419 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 114,302,419.
Example:
1 x 114,302,419 = 114,302,419
and
-1 x -114,302,419 = 114,302,419
Notice both answers equal 114,302,419
With that explanation out of the way, let's continue. Next, we take the number 114,302,419 and divide it by 2:
114,302,419 ÷ 2 = 57,151,209.5
If the quotient is a whole number, then 2 and 57,151,209.5 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 | 114,302,419 | |
| -1 | -114,302,419 |
Now, we try dividing 114,302,419 by 3:
114,302,419 ÷ 3 = 38,100,806.3333
If the quotient is a whole number, then 3 and 38,100,806.3333 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 | 114,302,419 | |
| -1 | -114,302,419 |
Let's try dividing by 4:
114,302,419 ÷ 4 = 28,575,604.75
If the quotient is a whole number, then 4 and 28,575,604.75 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 | 114,302,419 | |
| -1 | 114,302,419 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 77 | 179 | 1,253 | 1,969 | 8,293 | 13,783 | 58,051 | 91,223 | 638,561 | 1,484,447 | 10,391,129 | 16,328,917 | 114,302,419 |
| -1 | -7 | -11 | -77 | -179 | -1,253 | -1,969 | -8,293 | -13,783 | -58,051 | -91,223 | -638,561 | -1,484,447 | -10,391,129 | -16,328,917 | -114,302,419 |
Here are some more numbers to try:
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