A:
Positive:
1 x 41747357311 x 3795214317 x 24557269139 x 3003407187 x 22324791529 x 2730372363 x 17667116061 x 25993
Negative:
-1 x -417473573-11 x -37952143-17 x -24557269-139 x -3003407-187 x -2232479-1529 x -273037-2363 x -176671-16061 x -25993
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 417,473,573, 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 | 417,473,573 | |
| -1 | -417,473,573 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 417,473,573.
Example:
1 x 417,473,573 = 417,473,573
and
-1 x -417,473,573 = 417,473,573
Notice both answers equal 417,473,573
With that explanation out of the way, let's continue. Next, we take the number 417,473,573 and divide it by 2:
417,473,573 ÷ 2 = 208,736,786.5
If the quotient is a whole number, then 2 and 208,736,786.5 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 | 417,473,573 | |
| -1 | -417,473,573 |
Now, we try dividing 417,473,573 by 3:
417,473,573 ÷ 3 = 139,157,857.6667
If the quotient is a whole number, then 3 and 139,157,857.6667 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 | 417,473,573 | |
| -1 | -417,473,573 |
Let's try dividing by 4:
417,473,573 ÷ 4 = 104,368,393.25
If the quotient is a whole number, then 4 and 104,368,393.25 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 | 417,473,573 | |
| -1 | 417,473,573 |
If you did it right, you will end up with this table:
| 1 | 11 | 17 | 139 | 187 | 1,529 | 2,363 | 16,061 | 25,993 | 176,671 | 273,037 | 2,232,479 | 3,003,407 | 24,557,269 | 37,952,143 | 417,473,573 |
| -1 | -11 | -17 | -139 | -187 | -1,529 | -2,363 | -16,061 | -25,993 | -176,671 | -273,037 | -2,232,479 | -3,003,407 | -24,557,269 | -37,952,143 | -417,473,573 |
Here are some more numbers to try:
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