A:
Positive:
1 x 4174735755 x 8349471523 x 1815102525 x 16698943115 x 3630205529 x 789175575 x 7260412645 x 15783513225 x 31567
Negative:
-1 x -417473575-5 x -83494715-23 x -18151025-25 x -16698943-115 x -3630205-529 x -789175-575 x -726041-2645 x -157835-13225 x -31567
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 417,473,575, 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 | 417,473,575 | |
| -1 | -417,473,575 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 417,473,575.
Example:
1 x 417,473,575 = 417,473,575
and
-1 x -417,473,575 = 417,473,575
Notice both answers equal 417,473,575
With that explanation out of the way, let's continue. Next, we take the number 417,473,575 and divide it by 2:
417,473,575 ÷ 2 = 208,736,787.5
If the quotient is a whole number, then 2 and 208,736,787.5 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 | 417,473,575 | |
| -1 | -417,473,575 |
Now, we try dividing 417,473,575 by 3:
417,473,575 ÷ 3 = 139,157,858.3333
If the quotient is a whole number, then 3 and 139,157,858.3333 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 | 417,473,575 | |
| -1 | -417,473,575 |
Let's try dividing by 4:
417,473,575 ÷ 4 = 104,368,393.75
If the quotient is a whole number, then 4 and 104,368,393.75 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 | 417,473,575 | |
| -1 | 417,473,575 |
If you did it right, you will end up with this table:
| 1 | 5 | 23 | 25 | 115 | 529 | 575 | 2,645 | 13,225 | 31,567 | 157,835 | 726,041 | 789,175 | 3,630,205 | 16,698,943 | 18,151,025 | 83,494,715 | 417,473,575 |
| -1 | -5 | -23 | -25 | -115 | -529 | -575 | -2,645 | -13,225 | -31,567 | -157,835 | -726,041 | -789,175 | -3,630,205 | -16,698,943 | -18,151,025 | -83,494,715 | -417,473,575 |
Here are some more numbers to try:
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