A:
Positive:
1 x 1454500255 x 290900057 x 2077857525 x 581800135 x 4155715175 x 831143197 x 738325985 x 1476651379 x 1054754219 x 344754925 x 295336895 x 21095
Negative:
-1 x -145450025-5 x -29090005-7 x -20778575-25 x -5818001-35 x -4155715-175 x -831143-197 x -738325-985 x -147665-1379 x -105475-4219 x -34475-4925 x -29533-6895 x -21095
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 145,450,025, 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 | 145,450,025 | |
| -1 | -145,450,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 145,450,025.
Example:
1 x 145,450,025 = 145,450,025
and
-1 x -145,450,025 = 145,450,025
Notice both answers equal 145,450,025
With that explanation out of the way, let's continue. Next, we take the number 145,450,025 and divide it by 2:
145,450,025 ÷ 2 = 72,725,012.5
If the quotient is a whole number, then 2 and 72,725,012.5 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 | 145,450,025 | |
| -1 | -145,450,025 |
Now, we try dividing 145,450,025 by 3:
145,450,025 ÷ 3 = 48,483,341.6667
If the quotient is a whole number, then 3 and 48,483,341.6667 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 | 145,450,025 | |
| -1 | -145,450,025 |
Let's try dividing by 4:
145,450,025 ÷ 4 = 36,362,506.25
If the quotient is a whole number, then 4 and 36,362,506.25 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 | 145,450,025 | |
| -1 | 145,450,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 25 | 35 | 175 | 197 | 985 | 1,379 | 4,219 | 4,925 | 6,895 | 21,095 | 29,533 | 34,475 | 105,475 | 147,665 | 738,325 | 831,143 | 4,155,715 | 5,818,001 | 20,778,575 | 29,090,005 | 145,450,025 |
| -1 | -5 | -7 | -25 | -35 | -175 | -197 | -985 | -1,379 | -4,219 | -4,925 | -6,895 | -21,095 | -29,533 | -34,475 | -105,475 | -147,665 | -738,325 | -831,143 | -4,155,715 | -5,818,001 | -20,778,575 | -29,090,005 | -145,450,025 |
Here are some more numbers to try:
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