Q: What are the factor combinations of the number 9,698,789?

 A:
Positive:   1 x 969878917 x 57051729 x 334441103 x 94163191 x 50779493 x 196731751 x 55392987 x 3247
Negative: -1 x -9698789-17 x -570517-29 x -334441-103 x -94163-191 x -50779-493 x -19673-1751 x -5539-2987 x -3247


How do I find the factor combinations of the number 9,698,789?

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 9,698,789, 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 9,698,789
-1 -9,698,789

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 9,698,789.

Example:
1 x 9,698,789 = 9,698,789
and
-1 x -9,698,789 = 9,698,789
Notice both answers equal 9,698,789

With that explanation out of the way, let's continue. Next, we take the number 9,698,789 and divide it by 2:

9,698,789 ÷ 2 = 4,849,394.5

If the quotient is a whole number, then 2 and 4,849,394.5 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 9,698,789
-1 -9,698,789

Now, we try dividing 9,698,789 by 3:

9,698,789 ÷ 3 = 3,232,929.6667

If the quotient is a whole number, then 3 and 3,232,929.6667 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 9,698,789
-1 -9,698,789

Let's try dividing by 4:

9,698,789 ÷ 4 = 2,424,697.25

If the quotient is a whole number, then 4 and 2,424,697.25 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 9,698,789
-1 9,698,789
Keep dividing by the next highest number until you cannot divide anymore.

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

117291031914931,7512,9873,2475,53919,67350,77994,163334,441570,5179,698,789
-1-17-29-103-191-493-1,751-2,987-3,247-5,539-19,673-50,779-94,163-334,441-570,517-9,698,789

More Examples

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