A:
Positive:
1 x 5132266517 x 7331809317 x 3018980319 x 27011929119 x 4312829133 x 3858847323 x 15889372261 x 226991
Negative:
-1 x -513226651-7 x -73318093-17 x -30189803-19 x -27011929-119 x -4312829-133 x -3858847-323 x -1588937-2261 x -226991
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 513,226,651, 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 | 513,226,651 | |
| -1 | -513,226,651 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 513,226,651.
Example:
1 x 513,226,651 = 513,226,651
and
-1 x -513,226,651 = 513,226,651
Notice both answers equal 513,226,651
With that explanation out of the way, let's continue. Next, we take the number 513,226,651 and divide it by 2:
513,226,651 ÷ 2 = 256,613,325.5
If the quotient is a whole number, then 2 and 256,613,325.5 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 | 513,226,651 | |
| -1 | -513,226,651 |
Now, we try dividing 513,226,651 by 3:
513,226,651 ÷ 3 = 171,075,550.3333
If the quotient is a whole number, then 3 and 171,075,550.3333 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 | 513,226,651 | |
| -1 | -513,226,651 |
Let's try dividing by 4:
513,226,651 ÷ 4 = 128,306,662.75
If the quotient is a whole number, then 4 and 128,306,662.75 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 | 513,226,651 | |
| -1 | 513,226,651 |
If you did it right, you will end up with this table:
| 1 | 7 | 17 | 19 | 119 | 133 | 323 | 2,261 | 226,991 | 1,588,937 | 3,858,847 | 4,312,829 | 27,011,929 | 30,189,803 | 73,318,093 | 513,226,651 |
| -1 | -7 | -17 | -19 | -119 | -133 | -323 | -2,261 | -226,991 | -1,588,937 | -3,858,847 | -4,312,829 | -27,011,929 | -30,189,803 | -73,318,093 | -513,226,651 |
Here are some more numbers to try:
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