A:
Positive:
1 x 5667420255 x 11334840525 x 22669681131 x 4326275655 x 8652551321 x 4290253275 x 1730516605 x 8580517161 x 33025
Negative:
-1 x -566742025-5 x -113348405-25 x -22669681-131 x -4326275-655 x -865255-1321 x -429025-3275 x -173051-6605 x -85805-17161 x -33025
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 566,742,025, 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 | 566,742,025 | |
| -1 | -566,742,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 566,742,025.
Example:
1 x 566,742,025 = 566,742,025
and
-1 x -566,742,025 = 566,742,025
Notice both answers equal 566,742,025
With that explanation out of the way, let's continue. Next, we take the number 566,742,025 and divide it by 2:
566,742,025 ÷ 2 = 283,371,012.5
If the quotient is a whole number, then 2 and 283,371,012.5 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 | 566,742,025 | |
| -1 | -566,742,025 |
Now, we try dividing 566,742,025 by 3:
566,742,025 ÷ 3 = 188,914,008.3333
If the quotient is a whole number, then 3 and 188,914,008.3333 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 | 566,742,025 | |
| -1 | -566,742,025 |
Let's try dividing by 4:
566,742,025 ÷ 4 = 141,685,506.25
If the quotient is a whole number, then 4 and 141,685,506.25 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 | 566,742,025 | |
| -1 | 566,742,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 131 | 655 | 1,321 | 3,275 | 6,605 | 17,161 | 33,025 | 85,805 | 173,051 | 429,025 | 865,255 | 4,326,275 | 22,669,681 | 113,348,405 | 566,742,025 |
| -1 | -5 | -25 | -131 | -655 | -1,321 | -3,275 | -6,605 | -17,161 | -33,025 | -85,805 | -173,051 | -429,025 | -865,255 | -4,326,275 | -22,669,681 | -113,348,405 | -566,742,025 |
Here are some more numbers to try:
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