A:
Positive:
1 x 2611514055 x 5223028153 x 492738559 x 4426295265 x 985477295 x 8852593127 x 8351515635 x 16703
Negative:
-1 x -261151405-5 x -52230281-53 x -4927385-59 x -4426295-265 x -985477-295 x -885259-3127 x -83515-15635 x -16703
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 261,151,405, 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 | 261,151,405 | |
| -1 | -261,151,405 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 261,151,405.
Example:
1 x 261,151,405 = 261,151,405
and
-1 x -261,151,405 = 261,151,405
Notice both answers equal 261,151,405
With that explanation out of the way, let's continue. Next, we take the number 261,151,405 and divide it by 2:
261,151,405 ÷ 2 = 130,575,702.5
If the quotient is a whole number, then 2 and 130,575,702.5 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 | 261,151,405 | |
| -1 | -261,151,405 |
Now, we try dividing 261,151,405 by 3:
261,151,405 ÷ 3 = 87,050,468.3333
If the quotient is a whole number, then 3 and 87,050,468.3333 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 | 261,151,405 | |
| -1 | -261,151,405 |
Let's try dividing by 4:
261,151,405 ÷ 4 = 65,287,851.25
If the quotient is a whole number, then 4 and 65,287,851.25 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 | 261,151,405 | |
| -1 | 261,151,405 |
If you did it right, you will end up with this table:
| 1 | 5 | 53 | 59 | 265 | 295 | 3,127 | 15,635 | 16,703 | 83,515 | 885,259 | 985,477 | 4,426,295 | 4,927,385 | 52,230,281 | 261,151,405 |
| -1 | -5 | -53 | -59 | -265 | -295 | -3,127 | -15,635 | -16,703 | -83,515 | -885,259 | -985,477 | -4,426,295 | -4,927,385 | -52,230,281 | -261,151,405 |
Here are some more numbers to try:
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