A:
Positive:
1 x 5126243155 x 1025248637 x 7323204535 x 14646409613 x 8362553065 x 1672514291 x 11946521455 x 23893
Negative:
-1 x -512624315-5 x -102524863-7 x -73232045-35 x -14646409-613 x -836255-3065 x -167251-4291 x -119465-21455 x -23893
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 512,624,315, 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 | 512,624,315 | |
| -1 | -512,624,315 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 512,624,315.
Example:
1 x 512,624,315 = 512,624,315
and
-1 x -512,624,315 = 512,624,315
Notice both answers equal 512,624,315
With that explanation out of the way, let's continue. Next, we take the number 512,624,315 and divide it by 2:
512,624,315 ÷ 2 = 256,312,157.5
If the quotient is a whole number, then 2 and 256,312,157.5 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 | 512,624,315 | |
| -1 | -512,624,315 |
Now, we try dividing 512,624,315 by 3:
512,624,315 ÷ 3 = 170,874,771.6667
If the quotient is a whole number, then 3 and 170,874,771.6667 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 | 512,624,315 | |
| -1 | -512,624,315 |
Let's try dividing by 4:
512,624,315 ÷ 4 = 128,156,078.75
If the quotient is a whole number, then 4 and 128,156,078.75 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 | 512,624,315 | |
| -1 | 512,624,315 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 35 | 613 | 3,065 | 4,291 | 21,455 | 23,893 | 119,465 | 167,251 | 836,255 | 14,646,409 | 73,232,045 | 102,524,863 | 512,624,315 |
| -1 | -5 | -7 | -35 | -613 | -3,065 | -4,291 | -21,455 | -23,893 | -119,465 | -167,251 | -836,255 | -14,646,409 | -73,232,045 | -102,524,863 | -512,624,315 |
Here are some more numbers to try:
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