Q: What are the factor combinations of the number 9,838,655?

 A:
Positive:   1 x 98386555 x 196773153 x 185635137 x 71815265 x 37127271 x 36305685 x 143631355 x 7261
Negative: -1 x -9838655-5 x -1967731-53 x -185635-137 x -71815-265 x -37127-271 x -36305-685 x -14363-1355 x -7261


How do I find the factor combinations of the number 9,838,655?

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 9,838,655, 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 9,838,655
-1 -9,838,655

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 9,838,655.

Example:
1 x 9,838,655 = 9,838,655
and
-1 x -9,838,655 = 9,838,655
Notice both answers equal 9,838,655

With that explanation out of the way, let's continue. Next, we take the number 9,838,655 and divide it by 2:

9,838,655 ÷ 2 = 4,919,327.5

If the quotient is a whole number, then 2 and 4,919,327.5 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 9,838,655
-1 -9,838,655

Now, we try dividing 9,838,655 by 3:

9,838,655 ÷ 3 = 3,279,551.6667

If the quotient is a whole number, then 3 and 3,279,551.6667 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 9,838,655
-1 -9,838,655

Let's try dividing by 4:

9,838,655 ÷ 4 = 2,459,663.75

If the quotient is a whole number, then 4 and 2,459,663.75 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 9,838,655
-1 9,838,655
Keep dividing by the next highest number until you cannot divide anymore.

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

15531372652716851,3557,26114,36336,30537,12771,815185,6351,967,7319,838,655
-1-5-53-137-265-271-685-1,355-7,261-14,363-36,305-37,127-71,815-185,635-1,967,731-9,838,655

More Examples

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