A:
Positive:
1 x 1451299997 x 2073285719 x 7638421133 x 1091203751 x 1932491453 x 998835257 x 2760710171 x 14269
Negative:
-1 x -145129999-7 x -20732857-19 x -7638421-133 x -1091203-751 x -193249-1453 x -99883-5257 x -27607-10171 x -14269
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 145,129,999, 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 | 145,129,999 | |
| -1 | -145,129,999 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 145,129,999.
Example:
1 x 145,129,999 = 145,129,999
and
-1 x -145,129,999 = 145,129,999
Notice both answers equal 145,129,999
With that explanation out of the way, let's continue. Next, we take the number 145,129,999 and divide it by 2:
145,129,999 ÷ 2 = 72,564,999.5
If the quotient is a whole number, then 2 and 72,564,999.5 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 | 145,129,999 | |
| -1 | -145,129,999 |
Now, we try dividing 145,129,999 by 3:
145,129,999 ÷ 3 = 48,376,666.3333
If the quotient is a whole number, then 3 and 48,376,666.3333 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 | 145,129,999 | |
| -1 | -145,129,999 |
Let's try dividing by 4:
145,129,999 ÷ 4 = 36,282,499.75
If the quotient is a whole number, then 4 and 36,282,499.75 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 | 145,129,999 | |
| -1 | 145,129,999 |
If you did it right, you will end up with this table:
| 1 | 7 | 19 | 133 | 751 | 1,453 | 5,257 | 10,171 | 14,269 | 27,607 | 99,883 | 193,249 | 1,091,203 | 7,638,421 | 20,732,857 | 145,129,999 |
| -1 | -7 | -19 | -133 | -751 | -1,453 | -5,257 | -10,171 | -14,269 | -27,607 | -99,883 | -193,249 | -1,091,203 | -7,638,421 | -20,732,857 | -145,129,999 |
Here are some more numbers to try:
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