Q: What are the factor combinations of the number 9,696,955?

 A:
Positive:   1 x 96969555 x 193939131 x 31280573 x 132835155 x 62561365 x 26567857 x 113152263 x 4285
Negative: -1 x -9696955-5 x -1939391-31 x -312805-73 x -132835-155 x -62561-365 x -26567-857 x -11315-2263 x -4285


How do I find the factor combinations of the number 9,696,955?

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 9,696,955, 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 9,696,955
-1 -9,696,955

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 9,696,955.

Example:
1 x 9,696,955 = 9,696,955
and
-1 x -9,696,955 = 9,696,955
Notice both answers equal 9,696,955

With that explanation out of the way, let's continue. Next, we take the number 9,696,955 and divide it by 2:

9,696,955 ÷ 2 = 4,848,477.5

If the quotient is a whole number, then 2 and 4,848,477.5 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 9,696,955
-1 -9,696,955

Now, we try dividing 9,696,955 by 3:

9,696,955 ÷ 3 = 3,232,318.3333

If the quotient is a whole number, then 3 and 3,232,318.3333 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 9,696,955
-1 -9,696,955

Let's try dividing by 4:

9,696,955 ÷ 4 = 2,424,238.75

If the quotient is a whole number, then 4 and 2,424,238.75 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 9,696,955
-1 9,696,955
Keep dividing by the next highest number until you cannot divide anymore.

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

1531731553658572,2634,28511,31526,56762,561132,835312,8051,939,3919,696,955
-1-5-31-73-155-365-857-2,263-4,285-11,315-26,567-62,561-132,835-312,805-1,939,391-9,696,955

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