A:
Positive:
1 x 81315017 x 116164349 x 165949151 x 53851157 x 51793343 x 237071057 x 76931099 x 7399
Negative:
-1 x -8131501-7 x -1161643-49 x -165949-151 x -53851-157 x -51793-343 x -23707-1057 x -7693-1099 x -7399
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 8,131,501, 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 | 8,131,501 | |
| -1 | -8,131,501 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 8,131,501.
Example:
1 x 8,131,501 = 8,131,501
and
-1 x -8,131,501 = 8,131,501
Notice both answers equal 8,131,501
With that explanation out of the way, let's continue. Next, we take the number 8,131,501 and divide it by 2:
8,131,501 ÷ 2 = 4,065,750.5
If the quotient is a whole number, then 2 and 4,065,750.5 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 | 8,131,501 | |
| -1 | -8,131,501 |
Now, we try dividing 8,131,501 by 3:
8,131,501 ÷ 3 = 2,710,500.3333
If the quotient is a whole number, then 3 and 2,710,500.3333 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 | 8,131,501 | |
| -1 | -8,131,501 |
Let's try dividing by 4:
8,131,501 ÷ 4 = 2,032,875.25
If the quotient is a whole number, then 4 and 2,032,875.25 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 | 8,131,501 | |
| -1 | 8,131,501 |
If you did it right, you will end up with this table:
| 1 | 7 | 49 | 151 | 157 | 343 | 1,057 | 1,099 | 7,399 | 7,693 | 23,707 | 51,793 | 53,851 | 165,949 | 1,161,643 | 8,131,501 |
| -1 | -7 | -49 | -151 | -157 | -343 | -1,057 | -1,099 | -7,399 | -7,693 | -23,707 | -51,793 | -53,851 | -165,949 | -1,161,643 | -8,131,501 |
Here are some more numbers to try:
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