A:
Positive:
1 x 101203277 x 144576161 x 165907137 x 73871173 x 58499427 x 23701959 x 105531211 x 8357
Negative:
-1 x -10120327-7 x -1445761-61 x -165907-137 x -73871-173 x -58499-427 x -23701-959 x -10553-1211 x -8357
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 10,120,327, 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 | 10,120,327 | |
| -1 | -10,120,327 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 10,120,327.
Example:
1 x 10,120,327 = 10,120,327
and
-1 x -10,120,327 = 10,120,327
Notice both answers equal 10,120,327
With that explanation out of the way, let's continue. Next, we take the number 10,120,327 and divide it by 2:
10,120,327 ÷ 2 = 5,060,163.5
If the quotient is a whole number, then 2 and 5,060,163.5 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 | 10,120,327 | |
| -1 | -10,120,327 |
Now, we try dividing 10,120,327 by 3:
10,120,327 ÷ 3 = 3,373,442.3333
If the quotient is a whole number, then 3 and 3,373,442.3333 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 | 10,120,327 | |
| -1 | -10,120,327 |
Let's try dividing by 4:
10,120,327 ÷ 4 = 2,530,081.75
If the quotient is a whole number, then 4 and 2,530,081.75 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 | 10,120,327 | |
| -1 | 10,120,327 |
If you did it right, you will end up with this table:
| 1 | 7 | 61 | 137 | 173 | 427 | 959 | 1,211 | 8,357 | 10,553 | 23,701 | 58,499 | 73,871 | 165,907 | 1,445,761 | 10,120,327 |
| -1 | -7 | -61 | -137 | -173 | -427 | -959 | -1,211 | -8,357 | -10,553 | -23,701 | -58,499 | -73,871 | -165,907 | -1,445,761 | -10,120,327 |
Here are some more numbers to try:
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