A:
Positive:
1 x 4714010355 x 942802077 x 6734300531 x 1520648535 x 13468601155 x 3041297217 x 21723551085 x 434471
Negative:
-1 x -471401035-5 x -94280207-7 x -67343005-31 x -15206485-35 x -13468601-155 x -3041297-217 x -2172355-1085 x -434471
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 471,401,035, 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 | 471,401,035 | |
| -1 | -471,401,035 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 471,401,035.
Example:
1 x 471,401,035 = 471,401,035
and
-1 x -471,401,035 = 471,401,035
Notice both answers equal 471,401,035
With that explanation out of the way, let's continue. Next, we take the number 471,401,035 and divide it by 2:
471,401,035 ÷ 2 = 235,700,517.5
If the quotient is a whole number, then 2 and 235,700,517.5 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 | 471,401,035 | |
| -1 | -471,401,035 |
Now, we try dividing 471,401,035 by 3:
471,401,035 ÷ 3 = 157,133,678.3333
If the quotient is a whole number, then 3 and 157,133,678.3333 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 | 471,401,035 | |
| -1 | -471,401,035 |
Let's try dividing by 4:
471,401,035 ÷ 4 = 117,850,258.75
If the quotient is a whole number, then 4 and 117,850,258.75 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 | 471,401,035 | |
| -1 | 471,401,035 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 31 | 35 | 155 | 217 | 1,085 | 434,471 | 2,172,355 | 3,041,297 | 13,468,601 | 15,206,485 | 67,343,005 | 94,280,207 | 471,401,035 |
| -1 | -5 | -7 | -31 | -35 | -155 | -217 | -1,085 | -434,471 | -2,172,355 | -3,041,297 | -13,468,601 | -15,206,485 | -67,343,005 | -94,280,207 | -471,401,035 |
Here are some more numbers to try:
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