A:
Positive:
1 x 1069082 x 534543 x 356364 x 267276 x 1781812 x 890959 x 1812118 x 906151 x 708177 x 604236 x 453302 x 354
Negative:
-1 x -106908-2 x -53454-3 x -35636-4 x -26727-6 x -17818-12 x -8909-59 x -1812-118 x -906-151 x -708-177 x -604-236 x -453-302 x -354
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 106,908, 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 | 106,908 | |
| -1 | -106,908 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 106,908.
Example:
1 x 106,908 = 106,908
and
-1 x -106,908 = 106,908
Notice both answers equal 106,908
With that explanation out of the way, let's continue. Next, we take the number 106,908 and divide it by 2:
106,908 ÷ 2 = 53,454
If the quotient is a whole number, then 2 and 53,454 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!
Here is what our table should look like at this step:
| 1 | 2 | 53,454 | 106,908 | |
| -1 | -2 | -53,454 | -106,908 |
Now, we try dividing 106,908 by 3:
106,908 ÷ 3 = 35,636
If the quotient is a whole number, then 3 and 35,636 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!
Here is what our table should look like at this step:
| 1 | 2 | 3 | 35,636 | 53,454 | 106,908 | |
| -1 | -2 | -3 | -35,636 | -53,454 | -106,908 |
Let's try dividing by 4:
106,908 ÷ 4 = 26,727
If the quotient is a whole number, then 4 and 26,727 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!
Here is what our table should look like at this step:
| 1 | 2 | 3 | 4 | 26,727 | 35,636 | 53,454 | 106,908 | |
| -1 | -2 | -3 | -4 | -26,727 | -35,636 | -53,454 | 106,908 |
If you did it right, you will end up with this table:
| 1 | 2 | 3 | 4 | 6 | 12 | 59 | 118 | 151 | 177 | 236 | 302 | 354 | 453 | 604 | 708 | 906 | 1,812 | 8,909 | 17,818 | 26,727 | 35,636 | 53,454 | 106,908 |
| -1 | -2 | -3 | -4 | -6 | -12 | -59 | -118 | -151 | -177 | -236 | -302 | -354 | -453 | -604 | -708 | -906 | -1,812 | -8,909 | -17,818 | -26,727 | -35,636 | -53,454 | -106,908 |
Here are some more numbers to try:
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