A:
Positive:
1 x 100174277 x 143106119 x 527233109 x 91903133 x 75319691 x 14497763 x 131292071 x 4837
Negative:
-1 x -10017427-7 x -1431061-19 x -527233-109 x -91903-133 x -75319-691 x -14497-763 x -13129-2071 x -4837
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 10,017,427, 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 | 10,017,427 | |
| -1 | -10,017,427 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 10,017,427.
Example:
1 x 10,017,427 = 10,017,427
and
-1 x -10,017,427 = 10,017,427
Notice both answers equal 10,017,427
With that explanation out of the way, let's continue. Next, we take the number 10,017,427 and divide it by 2:
10,017,427 ÷ 2 = 5,008,713.5
If the quotient is a whole number, then 2 and 5,008,713.5 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 | 10,017,427 | |
| -1 | -10,017,427 |
Now, we try dividing 10,017,427 by 3:
10,017,427 ÷ 3 = 3,339,142.3333
If the quotient is a whole number, then 3 and 3,339,142.3333 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 | 10,017,427 | |
| -1 | -10,017,427 |
Let's try dividing by 4:
10,017,427 ÷ 4 = 2,504,356.75
If the quotient is a whole number, then 4 and 2,504,356.75 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 | 10,017,427 | |
| -1 | 10,017,427 |
If you did it right, you will end up with this table:
| 1 | 7 | 19 | 109 | 133 | 691 | 763 | 2,071 | 4,837 | 13,129 | 14,497 | 75,319 | 91,903 | 527,233 | 1,431,061 | 10,017,427 |
| -1 | -7 | -19 | -109 | -133 | -691 | -763 | -2,071 | -4,837 | -13,129 | -14,497 | -75,319 | -91,903 | -527,233 | -1,431,061 | -10,017,427 |
Here are some more numbers to try:
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