A:
Positive:
1 x 101145255 x 202290525 x 40458131 x 326275155 x 65255421 x 24025775 x 13051961 x 105252105 x 4805
Negative:
-1 x -10114525-5 x -2022905-25 x -404581-31 x -326275-155 x -65255-421 x -24025-775 x -13051-961 x -10525-2105 x -4805
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 10,114,525, 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 | 10,114,525 | |
| -1 | -10,114,525 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 10,114,525.
Example:
1 x 10,114,525 = 10,114,525
and
-1 x -10,114,525 = 10,114,525
Notice both answers equal 10,114,525
With that explanation out of the way, let's continue. Next, we take the number 10,114,525 and divide it by 2:
10,114,525 ÷ 2 = 5,057,262.5
If the quotient is a whole number, then 2 and 5,057,262.5 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 | 10,114,525 | |
| -1 | -10,114,525 |
Now, we try dividing 10,114,525 by 3:
10,114,525 ÷ 3 = 3,371,508.3333
If the quotient is a whole number, then 3 and 3,371,508.3333 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 | 10,114,525 | |
| -1 | -10,114,525 |
Let's try dividing by 4:
10,114,525 ÷ 4 = 2,528,631.25
If the quotient is a whole number, then 4 and 2,528,631.25 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 | 10,114,525 | |
| -1 | 10,114,525 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 31 | 155 | 421 | 775 | 961 | 2,105 | 4,805 | 10,525 | 13,051 | 24,025 | 65,255 | 326,275 | 404,581 | 2,022,905 | 10,114,525 |
| -1 | -5 | -25 | -31 | -155 | -421 | -775 | -961 | -2,105 | -4,805 | -10,525 | -13,051 | -24,025 | -65,255 | -326,275 | -404,581 | -2,022,905 | -10,114,525 |
Here are some more numbers to try:
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