Q: What are the factor combinations of the number 9,365,737?

 A:
Positive:   1 x 936573747 x 19927189 x 1052332239 x 4183
Negative: -1 x -9365737-47 x -199271-89 x -105233-2239 x -4183


How do I find the factor combinations of the number 9,365,737?

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 9,365,737, 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 9,365,737
-1 -9,365,737

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 9,365,737.

Example:
1 x 9,365,737 = 9,365,737
and
-1 x -9,365,737 = 9,365,737
Notice both answers equal 9,365,737

With that explanation out of the way, let's continue. Next, we take the number 9,365,737 and divide it by 2:

9,365,737 ÷ 2 = 4,682,868.5

If the quotient is a whole number, then 2 and 4,682,868.5 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 9,365,737
-1 -9,365,737

Now, we try dividing 9,365,737 by 3:

9,365,737 ÷ 3 = 3,121,912.3333

If the quotient is a whole number, then 3 and 3,121,912.3333 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 9,365,737
-1 -9,365,737

Let's try dividing by 4:

9,365,737 ÷ 4 = 2,341,434.25

If the quotient is a whole number, then 4 and 2,341,434.25 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 9,365,737
-1 9,365,737
Keep dividing by the next highest number until you cannot divide anymore.

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

147892,2394,183105,233199,2719,365,737
-1-47-89-2,239-4,183-105,233-199,271-9,365,737

More Examples

Here are some more numbers to try:

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