A:
Positive:
1 x 1015065711 x 92278741 x 24757771 x 142967317 x 32021451 x 22507781 x 129972911 x 3487
Negative:
-1 x -10150657-11 x -922787-41 x -247577-71 x -142967-317 x -32021-451 x -22507-781 x -12997-2911 x -3487
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 10,150,657, 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 | 10,150,657 | |
| -1 | -10,150,657 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 10,150,657.
Example:
1 x 10,150,657 = 10,150,657
and
-1 x -10,150,657 = 10,150,657
Notice both answers equal 10,150,657
With that explanation out of the way, let's continue. Next, we take the number 10,150,657 and divide it by 2:
10,150,657 ÷ 2 = 5,075,328.5
If the quotient is a whole number, then 2 and 5,075,328.5 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 | 10,150,657 | |
| -1 | -10,150,657 |
Now, we try dividing 10,150,657 by 3:
10,150,657 ÷ 3 = 3,383,552.3333
If the quotient is a whole number, then 3 and 3,383,552.3333 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 | 10,150,657 | |
| -1 | -10,150,657 |
Let's try dividing by 4:
10,150,657 ÷ 4 = 2,537,664.25
If the quotient is a whole number, then 4 and 2,537,664.25 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 | 10,150,657 | |
| -1 | 10,150,657 |
If you did it right, you will end up with this table:
| 1 | 11 | 41 | 71 | 317 | 451 | 781 | 2,911 | 3,487 | 12,997 | 22,507 | 32,021 | 142,967 | 247,577 | 922,787 | 10,150,657 |
| -1 | -11 | -41 | -71 | -317 | -451 | -781 | -2,911 | -3,487 | -12,997 | -22,507 | -32,021 | -142,967 | -247,577 | -922,787 | -10,150,657 |
Here are some more numbers to try:
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