A:
Positive:
1 x 4063115355 x 812623077 x 5804450535 x 116089011693 x 2399956857 x 592558465 x 4799911851 x 34285
Negative:
-1 x -406311535-5 x -81262307-7 x -58044505-35 x -11608901-1693 x -239995-6857 x -59255-8465 x -47999-11851 x -34285
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 406,311,535, 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 | 406,311,535 | |
| -1 | -406,311,535 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 406,311,535.
Example:
1 x 406,311,535 = 406,311,535
and
-1 x -406,311,535 = 406,311,535
Notice both answers equal 406,311,535
With that explanation out of the way, let's continue. Next, we take the number 406,311,535 and divide it by 2:
406,311,535 ÷ 2 = 203,155,767.5
If the quotient is a whole number, then 2 and 203,155,767.5 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 | 406,311,535 | |
| -1 | -406,311,535 |
Now, we try dividing 406,311,535 by 3:
406,311,535 ÷ 3 = 135,437,178.3333
If the quotient is a whole number, then 3 and 135,437,178.3333 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 | 406,311,535 | |
| -1 | -406,311,535 |
Let's try dividing by 4:
406,311,535 ÷ 4 = 101,577,883.75
If the quotient is a whole number, then 4 and 101,577,883.75 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 | 406,311,535 | |
| -1 | 406,311,535 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 35 | 1,693 | 6,857 | 8,465 | 11,851 | 34,285 | 47,999 | 59,255 | 239,995 | 11,608,901 | 58,044,505 | 81,262,307 | 406,311,535 |
| -1 | -5 | -7 | -35 | -1,693 | -6,857 | -8,465 | -11,851 | -34,285 | -47,999 | -59,255 | -239,995 | -11,608,901 | -58,044,505 | -81,262,307 | -406,311,535 |
Here are some more numbers to try:
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