A:
Positive:
1 x 4422340255 x 8844680519 x 2327547525 x 1768936195 x 4655095361 x 1225025475 x 9310191805 x 2450052579 x 1714756859 x 644759025 x 4900112895 x 34295
Negative:
-1 x -442234025-5 x -88446805-19 x -23275475-25 x -17689361-95 x -4655095-361 x -1225025-475 x -931019-1805 x -245005-2579 x -171475-6859 x -64475-9025 x -49001-12895 x -34295
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 442,234,025, 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 | 442,234,025 | |
| -1 | -442,234,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 442,234,025.
Example:
1 x 442,234,025 = 442,234,025
and
-1 x -442,234,025 = 442,234,025
Notice both answers equal 442,234,025
With that explanation out of the way, let's continue. Next, we take the number 442,234,025 and divide it by 2:
442,234,025 ÷ 2 = 221,117,012.5
If the quotient is a whole number, then 2 and 221,117,012.5 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 | 442,234,025 | |
| -1 | -442,234,025 |
Now, we try dividing 442,234,025 by 3:
442,234,025 ÷ 3 = 147,411,341.6667
If the quotient is a whole number, then 3 and 147,411,341.6667 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 | 442,234,025 | |
| -1 | -442,234,025 |
Let's try dividing by 4:
442,234,025 ÷ 4 = 110,558,506.25
If the quotient is a whole number, then 4 and 110,558,506.25 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 | 442,234,025 | |
| -1 | 442,234,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 19 | 25 | 95 | 361 | 475 | 1,805 | 2,579 | 6,859 | 9,025 | 12,895 | 34,295 | 49,001 | 64,475 | 171,475 | 245,005 | 931,019 | 1,225,025 | 4,655,095 | 17,689,361 | 23,275,475 | 88,446,805 | 442,234,025 |
| -1 | -5 | -19 | -25 | -95 | -361 | -475 | -1,805 | -2,579 | -6,859 | -9,025 | -12,895 | -34,295 | -49,001 | -64,475 | -171,475 | -245,005 | -931,019 | -1,225,025 | -4,655,095 | -17,689,361 | -23,275,475 | -88,446,805 | -442,234,025 |
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