Q: What are the factor combinations of the number 106,806,107?

 A:
Positive:   1 x 10680610741 x 260502759 x 181027367 x 1594121659 x 1620732419 x 441532747 x 388813953 x 27019
Negative: -1 x -106806107-41 x -2605027-59 x -1810273-67 x -1594121-659 x -162073-2419 x -44153-2747 x -38881-3953 x -27019


How do I find the factor combinations of the number 106,806,107?

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 106,806,107, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

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.

1 106,806,107
-1 -106,806,107

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 106,806,107.

Example:
1 x 106,806,107 = 106,806,107
and
-1 x -106,806,107 = 106,806,107
Notice both answers equal 106,806,107

With that explanation out of the way, let's continue. Next, we take the number 106,806,107 and divide it by 2:

106,806,107 ÷ 2 = 53,403,053.5

If the quotient is a whole number, then 2 and 53,403,053.5 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:

1 106,806,107
-1 -106,806,107

Now, we try dividing 106,806,107 by 3:

106,806,107 ÷ 3 = 35,602,035.6667

If the quotient is a whole number, then 3 and 35,602,035.6667 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:

1 106,806,107
-1 -106,806,107

Let's try dividing by 4:

106,806,107 ÷ 4 = 26,701,526.75

If the quotient is a whole number, then 4 and 26,701,526.75 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:

1 106,806,107
-1 106,806,107
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

14159676592,4192,7473,95327,01938,88144,153162,0731,594,1211,810,2732,605,027106,806,107
-1-41-59-67-659-2,419-2,747-3,953-27,019-38,881-44,153-162,073-1,594,121-1,810,273-2,605,027-106,806,107

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