A:
Positive:
1 x 105067455 x 210134923 x 456815115 x 91363211 x 49795433 x 242651055 x 99592165 x 4853
Negative:
-1 x -10506745-5 x -2101349-23 x -456815-115 x -91363-211 x -49795-433 x -24265-1055 x -9959-2165 x -4853
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 10,506,745, 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 | 10,506,745 | |
| -1 | -10,506,745 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 10,506,745.
Example:
1 x 10,506,745 = 10,506,745
and
-1 x -10,506,745 = 10,506,745
Notice both answers equal 10,506,745
With that explanation out of the way, let's continue. Next, we take the number 10,506,745 and divide it by 2:
10,506,745 ÷ 2 = 5,253,372.5
If the quotient is a whole number, then 2 and 5,253,372.5 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 | 10,506,745 | |
| -1 | -10,506,745 |
Now, we try dividing 10,506,745 by 3:
10,506,745 ÷ 3 = 3,502,248.3333
If the quotient is a whole number, then 3 and 3,502,248.3333 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 | 10,506,745 | |
| -1 | -10,506,745 |
Let's try dividing by 4:
10,506,745 ÷ 4 = 2,626,686.25
If the quotient is a whole number, then 4 and 2,626,686.25 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 | 10,506,745 | |
| -1 | 10,506,745 |
If you did it right, you will end up with this table:
| 1 | 5 | 23 | 115 | 211 | 433 | 1,055 | 2,165 | 4,853 | 9,959 | 24,265 | 49,795 | 91,363 | 456,815 | 2,101,349 | 10,506,745 |
| -1 | -5 | -23 | -115 | -211 | -433 | -1,055 | -2,165 | -4,853 | -9,959 | -24,265 | -49,795 | -91,363 | -456,815 | -2,101,349 | -10,506,745 |
Here are some more numbers to try:
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