A:
Positive:
1 x 1142142255 x 2284284519 x 601127525 x 456856983 x 137607595 x 1202255415 x 275215475 x 2404511577 x 724252075 x 550432897 x 394257885 x 14485
Negative:
-1 x -114214225-5 x -22842845-19 x -6011275-25 x -4568569-83 x -1376075-95 x -1202255-415 x -275215-475 x -240451-1577 x -72425-2075 x -55043-2897 x -39425-7885 x -14485
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 114,214,225, 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 | 114,214,225 | |
| -1 | -114,214,225 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 114,214,225.
Example:
1 x 114,214,225 = 114,214,225
and
-1 x -114,214,225 = 114,214,225
Notice both answers equal 114,214,225
With that explanation out of the way, let's continue. Next, we take the number 114,214,225 and divide it by 2:
114,214,225 ÷ 2 = 57,107,112.5
If the quotient is a whole number, then 2 and 57,107,112.5 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 | 114,214,225 | |
| -1 | -114,214,225 |
Now, we try dividing 114,214,225 by 3:
114,214,225 ÷ 3 = 38,071,408.3333
If the quotient is a whole number, then 3 and 38,071,408.3333 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 | 114,214,225 | |
| -1 | -114,214,225 |
Let's try dividing by 4:
114,214,225 ÷ 4 = 28,553,556.25
If the quotient is a whole number, then 4 and 28,553,556.25 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 | 114,214,225 | |
| -1 | 114,214,225 |
If you did it right, you will end up with this table:
| 1 | 5 | 19 | 25 | 83 | 95 | 415 | 475 | 1,577 | 2,075 | 2,897 | 7,885 | 14,485 | 39,425 | 55,043 | 72,425 | 240,451 | 275,215 | 1,202,255 | 1,376,075 | 4,568,569 | 6,011,275 | 22,842,845 | 114,214,225 |
| -1 | -5 | -19 | -25 | -83 | -95 | -415 | -475 | -1,577 | -2,075 | -2,897 | -7,885 | -14,485 | -39,425 | -55,043 | -72,425 | -240,451 | -275,215 | -1,202,255 | -1,376,075 | -4,568,569 | -6,011,275 | -22,842,845 | -114,214,225 |
Here are some more numbers to try:
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