Q: What are the factor combinations of the number 9,636,655?

 A:
Positive:   1 x 96366555 x 19273317 x 137666523 x 41898535 x 275333115 x 83797161 x 59855805 x 11971
Negative: -1 x -9636655-5 x -1927331-7 x -1376665-23 x -418985-35 x -275333-115 x -83797-161 x -59855-805 x -11971


How do I find the factor combinations of the number 9,636,655?

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 9,636,655, 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 9,636,655
-1 -9,636,655

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 9,636,655.

Example:
1 x 9,636,655 = 9,636,655
and
-1 x -9,636,655 = 9,636,655
Notice both answers equal 9,636,655

With that explanation out of the way, let's continue. Next, we take the number 9,636,655 and divide it by 2:

9,636,655 ÷ 2 = 4,818,327.5

If the quotient is a whole number, then 2 and 4,818,327.5 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 9,636,655
-1 -9,636,655

Now, we try dividing 9,636,655 by 3:

9,636,655 ÷ 3 = 3,212,218.3333

If the quotient is a whole number, then 3 and 3,212,218.3333 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 9,636,655
-1 -9,636,655

Let's try dividing by 4:

9,636,655 ÷ 4 = 2,409,163.75

If the quotient is a whole number, then 4 and 2,409,163.75 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 9,636,655
-1 9,636,655
Keep dividing by the next highest number until you cannot divide anymore.

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

157233511516180511,97159,85583,797275,333418,9851,376,6651,927,3319,636,655
-1-5-7-23-35-115-161-805-11,971-59,855-83,797-275,333-418,985-1,376,665-1,927,331-9,636,655

More Examples

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