A:
Positive:
1 x 2661464055 x 532292817 x 3802091535 x 7604183641 x 4152053205 x 830414487 x 5931511863 x 22435
Negative:
-1 x -266146405-5 x -53229281-7 x -38020915-35 x -7604183-641 x -415205-3205 x -83041-4487 x -59315-11863 x -22435
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 266,146,405, 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 | 266,146,405 | |
| -1 | -266,146,405 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 266,146,405.
Example:
1 x 266,146,405 = 266,146,405
and
-1 x -266,146,405 = 266,146,405
Notice both answers equal 266,146,405
With that explanation out of the way, let's continue. Next, we take the number 266,146,405 and divide it by 2:
266,146,405 ÷ 2 = 133,073,202.5
If the quotient is a whole number, then 2 and 133,073,202.5 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 | 266,146,405 | |
| -1 | -266,146,405 |
Now, we try dividing 266,146,405 by 3:
266,146,405 ÷ 3 = 88,715,468.3333
If the quotient is a whole number, then 3 and 88,715,468.3333 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 | 266,146,405 | |
| -1 | -266,146,405 |
Let's try dividing by 4:
266,146,405 ÷ 4 = 66,536,601.25
If the quotient is a whole number, then 4 and 66,536,601.25 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 | 266,146,405 | |
| -1 | 266,146,405 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 35 | 641 | 3,205 | 4,487 | 11,863 | 22,435 | 59,315 | 83,041 | 415,205 | 7,604,183 | 38,020,915 | 53,229,281 | 266,146,405 |
| -1 | -5 | -7 | -35 | -641 | -3,205 | -4,487 | -11,863 | -22,435 | -59,315 | -83,041 | -415,205 | -7,604,183 | -38,020,915 | -53,229,281 | -266,146,405 |
Here are some more numbers to try:
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