A:
Positive:
1 x 1005266577 x 1436095111 x 913878777 x 130554189 x 1129513623 x 161359979 x 1026836853 x 14669
Negative:
-1 x -100526657-7 x -14360951-11 x -9138787-77 x -1305541-89 x -1129513-623 x -161359-979 x -102683-6853 x -14669
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 100,526,657, 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 | 100,526,657 | |
| -1 | -100,526,657 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 100,526,657.
Example:
1 x 100,526,657 = 100,526,657
and
-1 x -100,526,657 = 100,526,657
Notice both answers equal 100,526,657
With that explanation out of the way, let's continue. Next, we take the number 100,526,657 and divide it by 2:
100,526,657 ÷ 2 = 50,263,328.5
If the quotient is a whole number, then 2 and 50,263,328.5 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 | 100,526,657 | |
| -1 | -100,526,657 |
Now, we try dividing 100,526,657 by 3:
100,526,657 ÷ 3 = 33,508,885.6667
If the quotient is a whole number, then 3 and 33,508,885.6667 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 | 100,526,657 | |
| -1 | -100,526,657 |
Let's try dividing by 4:
100,526,657 ÷ 4 = 25,131,664.25
If the quotient is a whole number, then 4 and 25,131,664.25 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 | 100,526,657 | |
| -1 | 100,526,657 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 77 | 89 | 623 | 979 | 6,853 | 14,669 | 102,683 | 161,359 | 1,129,513 | 1,305,541 | 9,138,787 | 14,360,951 | 100,526,657 |
| -1 | -7 | -11 | -77 | -89 | -623 | -979 | -6,853 | -14,669 | -102,683 | -161,359 | -1,129,513 | -1,305,541 | -9,138,787 | -14,360,951 | -100,526,657 |
Here are some more numbers to try:
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