A:
Positive:
1 x 51311646111 x 4664695113 x 39470497101 x 5080361143 x 35882271111 x 4618511313 x 39079714443 x 35527
Negative:
-1 x -513116461-11 x -46646951-13 x -39470497-101 x -5080361-143 x -3588227-1111 x -461851-1313 x -390797-14443 x -35527
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 513,116,461, 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 | 513,116,461 | |
| -1 | -513,116,461 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 513,116,461.
Example:
1 x 513,116,461 = 513,116,461
and
-1 x -513,116,461 = 513,116,461
Notice both answers equal 513,116,461
With that explanation out of the way, let's continue. Next, we take the number 513,116,461 and divide it by 2:
513,116,461 ÷ 2 = 256,558,230.5
If the quotient is a whole number, then 2 and 256,558,230.5 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 | 513,116,461 | |
| -1 | -513,116,461 |
Now, we try dividing 513,116,461 by 3:
513,116,461 ÷ 3 = 171,038,820.3333
If the quotient is a whole number, then 3 and 171,038,820.3333 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 | 513,116,461 | |
| -1 | -513,116,461 |
Let's try dividing by 4:
513,116,461 ÷ 4 = 128,279,115.25
If the quotient is a whole number, then 4 and 128,279,115.25 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 | 513,116,461 | |
| -1 | 513,116,461 |
If you did it right, you will end up with this table:
| 1 | 11 | 13 | 101 | 143 | 1,111 | 1,313 | 14,443 | 35,527 | 390,797 | 461,851 | 3,588,227 | 5,080,361 | 39,470,497 | 46,646,951 | 513,116,461 |
| -1 | -11 | -13 | -101 | -143 | -1,111 | -1,313 | -14,443 | -35,527 | -390,797 | -461,851 | -3,588,227 | -5,080,361 | -39,470,497 | -46,646,951 | -513,116,461 |
Here are some more numbers to try:
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