A:
Positive:
1 x 3014324117 x 4306177323 x 13105757161 x 18722511249 x 2413391499 x 2010898743 x 3447710493 x 28727
Negative:
-1 x -301432411-7 x -43061773-23 x -13105757-161 x -1872251-1249 x -241339-1499 x -201089-8743 x -34477-10493 x -28727
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 301,432,411, 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 | 301,432,411 | |
| -1 | -301,432,411 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 301,432,411.
Example:
1 x 301,432,411 = 301,432,411
and
-1 x -301,432,411 = 301,432,411
Notice both answers equal 301,432,411
With that explanation out of the way, let's continue. Next, we take the number 301,432,411 and divide it by 2:
301,432,411 ÷ 2 = 150,716,205.5
If the quotient is a whole number, then 2 and 150,716,205.5 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 | 301,432,411 | |
| -1 | -301,432,411 |
Now, we try dividing 301,432,411 by 3:
301,432,411 ÷ 3 = 100,477,470.3333
If the quotient is a whole number, then 3 and 100,477,470.3333 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 | 301,432,411 | |
| -1 | -301,432,411 |
Let's try dividing by 4:
301,432,411 ÷ 4 = 75,358,102.75
If the quotient is a whole number, then 4 and 75,358,102.75 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 | 301,432,411 | |
| -1 | 301,432,411 |
If you did it right, you will end up with this table:
| 1 | 7 | 23 | 161 | 1,249 | 1,499 | 8,743 | 10,493 | 28,727 | 34,477 | 201,089 | 241,339 | 1,872,251 | 13,105,757 | 43,061,773 | 301,432,411 |
| -1 | -7 | -23 | -161 | -1,249 | -1,499 | -8,743 | -10,493 | -28,727 | -34,477 | -201,089 | -241,339 | -1,872,251 | -13,105,757 | -43,061,773 | -301,432,411 |
Here are some more numbers to try:
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